Multiples of 83

Multiples of 83 are numbers that can be expressed as 83 × n, where n is an integer. These multiples follow a pattern, increasing by 83 each time (e.g., 83, 166, 249, 332, 415). Multiples of 83 are crucial in mathematics, particularly in algebraic concepts, squares, square roots, and fractions. They play a fundamental role in understanding number properties and performing various arithmetic operations efficiently. Recognizing these multiples aids in grasping more complex mathematical ideas and solving algebraic equations. Multiples of 83 serve as essential building blocks in number theory, helping to explore patterns, relationships, and the behavior of numbers within mathematical frameworks. Understanding multiples of 83 enhances mathematical proficiency and problem-solving skills.

What are Multiples of 83?

Multiples of 83 are numbers that can be expressed as 83×n, where n is an integer. These numbers are always even and include values like 83, 166, 249, 332, and so on.

Prime Factorization of 83 : 1 × 83

First 10 Multiples of 83 are 83, 166, 249, 332, 415, 498, 581, 664, 747, 830

First 50 Multiples of 83 are 83, 166, 249, 332, 415, 498, 581, 664, 747, 830, 913, 996, 1079, 1162, 1245, 1328, 1411, 1494, 1577, 1660, 1743, 1826, 1909, 1992, 2075, 2158, 2241, 2324, 2407, 2490, 2573, 2656, 2739, 2822, 2905, 2988, 3071, 3154, 3237, 3320, 3403, 3486, 3569, 3652, 3735, 3818, 3901, 3984, 4067, 4150, 4233, 4316, 4399, 4482, 4565, 4648, 4731, 4814, 4897, 4980, 5063, 5146, 5229, 5312, 5395, 5478, 5561, 5644, 5727, 5810, 5893, 5976, 6059, 6142, 6225, 6308, 6391, 6474, 6557, 6640, 6723, 6806, 6889, 6972, 7055, 7138, 7221, 7304, 7387, 7470, 7553, 7636, 7719, 7802, 7885, 7968, 8051, 8134, 8217, 8300, 8383.

For example, 83 , 80, 166 and 249 are all multiples of 83, 149 is not a multiple of 83 for the following reasons:

Number	Reason	Remainder
83	83 × 1 = 83, which is exactly divisible by 83	0
166	83 × 2 = 166, which is exactly divisible by 83	0
249	83 × 3 = 249, which is exactly divisible by 83	0
332	83 × 4 = 332, which is exactly divisible by 83	0
149	149 ÷ 83 is not an integer; not divisible by 83	66

List of First 100 Multiples of 83 with Remainders

Number	Reason	Remainder
83	83 × 1 = 83, which is exactly divisible by 83	0
166	83 × 2 = 166, which is exactly divisible by 83	0
249	83 × 3 = 249, which is exactly divisible by 83	0
332	83 × 4 = 332, which is exactly divisible by 83	0
415	83 × 5 = 415, which is exactly divisible by 83	0
498	83 × 6 = 498, which is exactly divisible by 83	0
581	83 × 7 = 581, which is exactly divisible by 83	0
664	83 × 8 = 664, which is exactly divisible by 83	0
747	83 × 9 = 747, which is exactly divisible by 83	0
830	83 × 10 = 830, which is exactly divisible by 83	0
913	83 × 11 = 913, which is exactly divisible by 83	0
996	83 × 12 = 996, which is exactly divisible by 83	0
1079	83 × 13 = 1079, which is exactly divisible by 83	0
1162	83 × 14 = 1162, which is exactly divisible by 83	0
1245	83 × 15 = 1245, which is exactly divisible by 83	0
1328	83 × 16 = 1328, which is exactly divisible by 83	0
1411	83 × 17 = 1411, which is exactly divisible by 83	0
1494	83 × 18 = 1494, which is exactly divisible by 83	0
1577	83 × 19 = 1577, which is exactly divisible by 83	0
1660	83 × 20 = 1660, which is exactly divisible by 83	0
1743	83 × 21 = 1743, which is exactly divisible by 83	0
1826	83 × 22 = 1826, which is exactly divisible by 83	0
1909	83 × 23 = 1909, which is exactly divisible by 83	0
1992	83 × 24 = 1992, which is exactly divisible by 83	0
2075	83 × 25 = 2075, which is exactly divisible by 83	0
2158	83 × 26 = 2158, which is exactly divisible by 83	0
2241	83 × 27 = 2241, which is exactly divisible by 83	0
2324	83 × 28 = 2324, which is exactly divisible by 83	0
2407	83 × 29 = 2407, which is exactly divisible by 83	0
2490	83 × 30 = 2490, which is exactly divisible by 83	0
2573	83 × 31 = 2573, which is exactly divisible by 83	0
2656	83 × 32 = 2656, which is exactly divisible by 83	0
2739	83 × 33 = 2739, which is exactly divisible by 83	0
2822	83 × 34 = 2822, which is exactly divisible by 83	0
2905	83 × 35 = 2905, which is exactly divisible by 83	0
2988	83 × 36 = 2988, which is exactly divisible by 83	0
3071	83 × 37 = 3071, which is exactly divisible by 83	0
3154	83 × 38 = 3154, which is exactly divisible by 83	0
3237	83 × 39 = 3237, which is exactly divisible by 83	0
3320	83 × 40 = 3320, which is exactly divisible by 83	0
3403	83 × 41 = 3403, which is exactly divisible by 83	0
3486	83 × 42 = 3486, which is exactly divisible by 83	0
3569	83 × 43 = 3569, which is exactly divisible by 83	0
3652	83 × 44 = 3652, which is exactly divisible by 83	0
3735	83 × 45 = 3735, which is exactly divisible by 83	0
3818	83 × 46 = 3818, which is exactly divisible by 83	0
3901	83 × 47 = 3901, which is exactly divisible by 83	0
3984	83 × 48 = 3984, which is exactly divisible by 83	0
4067	83 × 49 = 4067, which is exactly divisible by 83	0
4150	83 × 50 = 4150, which is exactly divisible by 83	0
4233	83 × 51 = 4233, which is exactly divisible by 83	0
4316	83 × 52 = 4316, which is exactly divisible by 83	0
4399	83 × 53 = 4399, which is exactly divisible by 83	0
4482	83 × 54 = 4482, which is exactly divisible by 83	0
4565	83 × 55 = 4565, which is exactly divisible by 83	0
4648	83 × 56 = 4648, which is exactly divisible by 83	0
4731	83 × 57 = 4731, which is exactly divisible by 83	0
4814	83 × 58 = 4814, which is exactly divisible by 83	0
4897	83 × 59 = 4897, which is exactly divisible by 83	0
4980	83 × 60 = 4980, which is exactly divisible by 83	0
5063	83 × 61 = 5063, which is exactly divisible by 83	0
5146	83 × 62 = 5146, which is exactly divisible by 83	0
5229	83 × 63 = 5229, which is exactly divisible by 83	0
5312	83 × 64 = 5312, which is exactly divisible by 83	0
5395	83 × 65 = 5395, which is exactly divisible by 83	0
5478	83 × 66 = 5478, which is exactly divisible by 83	0
5561	83 × 67 = 5561, which is exactly divisible by 83	0
5644	83 × 68 = 5644, which is exactly divisible by 83	0
5727	83 × 69 = 5727, which is exactly divisible by 83	0
5810	83 × 70 = 5810, which is exactly divisible by 83	0
5893	83 × 71 = 5893, which is exactly divisible by 83	0
5976	83 × 72 = 5976, which is exactly divisible by 83	0
6059	83 × 73 = 6059, which is exactly divisible by 83	0
6142	83 × 74 = 6142, which is exactly divisible by 83	0
6225	83 × 75 = 6225, which is exactly divisible by 83	0
6308	83 × 76 = 6308, which is exactly divisible by 83	0
6391	83 × 77 = 6391, which is exactly divisible by 83	0
6474	83 × 78 = 6474, which is exactly divisible by 83	0
6557	83 × 79 = 6557, which is exactly divisible by 83	0
6640	83 × 80 = 6640, which is exactly divisible by 83	0
6723	83 × 81 = 6723, which is exactly divisible by 83	0
6806	83 × 82 = 6806, which is exactly divisible by 83	0
6889	83 × 83 = 6889, which is exactly divisible by 83	0
6972	83 × 84 = 6972, which is exactly divisible by 83	0
7055	83 × 85 = 7055, which is exactly divisible by 83	0
7138	83 × 86 = 7138, which is exactly divisible by 83	0
7221	83 × 87 = 7221, which is exactly divisible by 83	0
7304	83 × 88 = 7304, which is exactly divisible by 83	0
7387	83 × 89 = 7387, which is exactly divisible by 83	0
7470	83 × 90 = 7470, which is exactly divisible by 83	0
7553	83 × 91 = 7553, which is exactly divisible by 83	0
7636	83 × 92 = 7636, which is exactly divisible by 83	0
7719	83 × 93 = 7719, which is exactly divisible by 83	0
7802	83 × 94 = 7802, which is exactly divisible by 83	0
7885	83 × 95 = 7885, which is exactly divisible by 83	0
7968	83 × 96 = 7968, which is exactly divisible by 83	0
8051	83 × 97 = 8051, which is exactly divisible by 83	0
8134	83 × 98 = 8134, which is exactly divisible by 83	0
8217	83 × 99 = 8217, which is exactly divisible by 83	0
8300	83 × 100 = 8300, which is exactly divisible by 83	0

Read More About Multiples of 83

Table of 83

Important Notes

• Odd Numbers: All multiples of 83 are odd numbers, meaning they end in 1, 3, 5, 7, or 9.
• Divisibility: A number is a multiple of 83 if it can be divided by 83 with no remainder.
• Factors: Multiples of 83 have 83 as one of their factors.
• Infinite Sequence: There are infinitely many multiples of 83, extending indefinitely as 83, 166, 249, 332, 415, and so on.
• Arithmetic Pattern: The difference between consecutive multiples of 83 is always 83.

Examples on Multiples of 83

Simple Multiples

83: 83×1 = 83

166: 83×2 = 166

249: 83×3 = 249

Larger Multiples

830: 83×10 = 830

1660: 83×20 = 1660

3320: 83×40 = 3320

Real-Life Examples

• Time: 83 minutes is a multiple of 83 because 83×1=83.
• Money: $83 is a multiple of 83 because 83×1=83.
• Measurements: 249 inches (20.75 feet) is a multiple of 83 because 83×3=249.

Practical Examples of Multiples of 83

1. Classroom Seating: A school arranges chairs in rows of 83, so if there are 166 or 249 chairs, they are multiples of 83.
2. Event Planning: An event coordinator sets up tables with 83 seats each. Thus, 83, 166, or 249 guests can be seated in multiples of 83.
3. Shipping: A warehouse packs boxes in batches of 83, ensuring shipments of 83, 166, or 249 items are multiples of 83.
4. Construction: A builder uses 83 bricks per section of a wall, so sections requiring 83, 166, or 249 bricks are in multiples of 83.
5. Inventory Management: A store orders supplies in multiples of 83, maintaining stock levels with 83, 166, or 249 items.

Practical Applications

Counting by Eighty-Threes: When counting by eighty-threes (83, 166, 249, 332…), you are listing the multiples of 83.

Odd Numbers: Any number that is a multiple of 83, such as 166 or 249, is a multiple of 83 because it can be divided evenly by 83.