Multiples of 36

Understanding multiples of 36 involves recognizing how this integer interacts with other numbers through multiplication. Multiples of 36 are numbers that can be expressed as 36 times another whole number. In mathematics, these multiples can also be viewed as the result of multiplying 36 by integers such as 1, 2, 3, and so forth. These values are closely related to the divisors and factors of 36, as any multiple of 36 will inherently share common factors with 36. This concept is essential for exploring broader mathematical principles involving multiples and their applications.

What are Multiples of 36?

Multiples of 36 are the products obtained by multiplying 36 by any integer. Examples include 36, 72, 108, 144, and so on. These numbers follow the pattern 36n, where n is any integer.

Prime Factorization of 36: 2 × 2 × 3 × 3 First 10 Multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360.

For example, 144, 216, 252 and 324 are all multiples of 36, 353 is not a multiple of 36 for the following reasons:

Number	Calculation	Reason	Remainder
144	144÷36 = 4	144 is a multiple of 36 because it divides evenly.	0
216	216÷36 = 6	216 is a multiple of 36 because it divides evenly.	0
252	252÷36 = 7	252 is a multiple of 36 because it divides evenly.	0
324	324÷36 = 9	324 is a multiple of 36 because it divides evenly.	0
353	353÷36 = 9	353 is not a multiple of 36 because it does not divide evenly.	29

List of First 100 Multiples of 36 with Remainders

Number	Reason	Remainder
36	36 is a multiple of 36 because 36 × 1 = 36	0
72	72 is a multiple of 36 because 36 × 2 = 72	0
108	108 is a multiple of 36 because 36 × 3 = 108	0
144	144 is a multiple of 36 because 36 × 4 = 144	0
180	180 is a multiple of 36 because 36 × 5 = 180	0
216	216 is a multiple of 36 because 36 × 6 = 216	0
252	252 is a multiple of 36 because 36 × 7 = 252	0
288	288 is a multiple of 36 because 36 × 8 = 288	0
324	324 is a multiple of 36 because 36 × 9 = 324	0
360	360 is a multiple of 36 because 36 × 10 = 360	0
396	396 is a multiple of 36 because 36 × 11 = 396	0
432	432 is a multiple of 36 because 36 × 12 = 432	0
468	468 is a multiple of 36 because 36 × 13 = 468	0
504	504 is a multiple of 36 because 36 × 14 = 504	0
540	540 is a multiple of 36 because 36 × 15 = 540	0
576	576 is a multiple of 36 because 36 × 16 = 576	0
612	612 is a multiple of 36 because 36 × 17 = 612	0
648	648 is a multiple of 36 because 36 × 18 = 648	0
684	684 is a multiple of 36 because 36 × 19 = 684	0
720	720 is a multiple of 36 because 36 × 20 = 720	0
756	756 is a multiple of 36 because 36 × 21 = 756	0
792	792 is a multiple of 36 because 36 × 22 = 792	0
828	828 is a multiple of 36 because 36 × 23 = 828	0
864	864 is a multiple of 36 because 36 × 24 = 864	0
900	900 is a multiple of 36 because 36 × 25 = 900	0
936	936 is a multiple of 36 because 36 × 26 = 936	0
972	972 is a multiple of 36 because 36 × 27 = 972	0
1008	1008 is a multiple of 36 because 36 × 28 = 1008	0
1044	1044 is a multiple of 36 because 36 × 29 = 1044	0
1080	1080 is a multiple of 36 because 36 × 30 = 1080	0
1116	1116 is a multiple of 36 because 36 × 31 = 1116	0
1152	1152 is a multiple of 36 because 36 × 32 = 1152	0
1188	1188 is a multiple of 36 because 36 × 33 = 1188	0
1224	1224 is a multiple of 36 because 36 × 34 = 1224	0
1260	1260 is a multiple of 36 because 36 × 35 = 1260	0
1296	1296 is a multiple of 36 because 36 × 36 = 1296	0
1332	1332 is a multiple of 36 because 36 × 37 = 1332	0
1368	1368 is a multiple of 36 because 36 × 38 = 1368	0
1404	1404 is a multiple of 36 because 36 × 39 = 1404	0
1440	1440 is a multiple of 36 because 36 × 40 = 1440	0
1476	1476 is a multiple of 36 because 36 × 41 = 1476	0
1512	1512 is a multiple of 36 because 36 × 42 = 1512	0
1548	1548 is a multiple of 36 because 36 × 43 = 1548	0
1584	1584 is a multiple of 36 because 36 × 44 = 1584	0
1620	1620 is a multiple of 36 because 36 × 45 = 1620	0
1656	1656 is a multiple of 36 because 36 × 46 = 1656	0
1692	1692 is a multiple of 36 because 36 × 47 = 1692	0
1728	1728 is a multiple of 36 because 36 × 48 = 1728	0
1764	1764 is a multiple of 36 because 36 × 49 = 1764	0
1800	1800 is a multiple of 36 because 36 × 50 = 1800	0
1836	1836 is a multiple of 36 because 36 × 51 = 1836	0
1872	1872 is a multiple of 36 because 36 × 52 = 1872	0
1908	1908 is a multiple of 36 because 36 × 53 = 1908	0
1944	1944 is a multiple of 36 because 36 × 54 = 1944	0
1980	1980 is a multiple of 36 because 36 × 55 = 1980	0
2016	2016 is a multiple of 36 because 36 × 56 = 2016	0
2052	2052 is a multiple of 36 because 36 × 57 = 2052	0
2088	2088 is a multiple of 36 because 36 × 58 = 2088	0
2124	2124 is a multiple of 36 because 36 × 59 = 2124	0
2160	2160 is a multiple of 36 because 36 × 60 = 2160	0
2196	2196 is a multiple of 36 because 36 × 61 = 2196	0
2232	2232 is a multiple of 36 because 36 × 62 = 2232	0
2268	2268 is a multiple of 36 because 36 × 63 = 2268	0
2304	2304 is a multiple of 36 because 36 × 64 = 2304	0
2340	2340 is a multiple of 36 because 36 × 65 = 2340	0
2376	2376 is a multiple of 36 because 36 × 66 = 2376	0
2412	2412 is a multiple of 36 because 36 × 67 = 2412	0
2448	2448 is a multiple of 36 because 36 × 68 = 2448	0
2484	2484 is a multiple of 36 because 36 × 69 = 2484	0
2520	2520 is a multiple of 36 because 36 × 70 = 2520	0
2556	2556 is a multiple of 36 because 36 × 71 = 2556	0
2592	2592 is a multiple of 36 because 36 × 72 = 2592	0
2628	2628 is a multiple of 36 because 36 × 73 = 2628	0
2664	2664 is a multiple of 36 because 36 × 74 = 2664	0
2700	2700 is a multiple of 36 because 36 × 75 = 2700	0
2736	2736 is a multiple of 36 because 36 × 76 = 2736	0
2772	2772 is a multiple of 36 because 36 × 77 = 2772	0
2808	2808 is a multiple of 36 because 36 × 78 = 2808	0
2844	2844 is a multiple of 36 because 36 × 79 = 2844	0
2880	2880 is a multiple of 36 because 36 × 80 = 2880	0
2916	2916 is a multiple of 36 because 36 × 81 = 2916	0
2952	2952 is a multiple of 36 because 36 × 82 = 2952	0
2988	2988 is a multiple of 36 because 36 × 83 = 2988	0
3024	3024 is a multiple of 36 because 36 × 84 = 3024	0
3060	3060 is a multiple of 36 because 36 × 85 = 3060	0
3096	3096 is a multiple of 36 because 36 × 86 = 3096	0
3132	3132 is a multiple of 36 because 36 × 87 = 3132	0
3168	3168 is a multiple of 36 because 36 × 88 = 3168	0
3204	3204 is a multiple of 36 because 36 × 89 = 3204	0
3240	3240 is a multiple of 36 because 36 × 90 = 3240	0
3276	3276 is a multiple of 36 because 36 × 91 = 3276	0
3312	3312 is a multiple of 36 because 36 × 92 = 3312	0
3348	3348 is a multiple of 36 because 36 × 93 = 3348	0
3384	3384 is a multiple of 36 because 36 × 94 = 3384	0
3420	3420 is a multiple of 36 because 36 × 95 = 3420	0
3456	3456 is a multiple of 36 because 36 × 96 = 3456	0
3492	3492 is a multiple of 36 because 36 × 97 = 3492	0
3528	3528 is a multiple of 36 because 36 × 98 = 3528	0
3564	3564 is a multiple of 36 because 36 × 99 = 3564	0
3600	3600 is a multiple of 36 because 36 × 100 = 3600	0

Read More About Multiples of 36

Table of 36

Important Notes

Definition: A multiple of 36 is any number that can be expressed as 36 times an integer. For example, 36, 72, 108, etc.

Even Number: Since 36 is an even number, all its multiples are also even numbers.

Divisibility Rules: A number is a multiple of 36 if it is divisible by both 4 and 9, as 36 = 4 × 9. This means the number must pass both the divisibility rules for 4 (last two digits form a number divisible by 4) and 9 (sum of the digits is divisible by 9).

Prime Factorization: The prime factorization of 36 is 2² × 3². Therefore, any multiple of 36 will have at least these prime factors raised to at least these powers.

Common Multiples: To find common multiples of 36 with another number, find the least common multiple (LCM) of 36 and the other number. The LCM is the smallest number that is a multiple of both.

Examples on Multiples of 36

Here are five examples of multiples of 36, presented in a similar structure:

Simple Multiples of 36

• 1×36 = 36
• 2×36 = 72
• 3×36 = 108

Larger Multiples of 36

• 10×36 = 360
• 20×36 = 720

Real-Life Examples of Multiples of 36

• Area Calculation: An area of 144 square meters is a multiple of 36 because 4×36 = 144.
• Storage Capacity: A data storage of 360 GB is a multiple of 36 because 10×36 = 360.
• Inventory: A stock of 720 items is a multiple of 36 because 20×36 = 720.

Practical Examples of Multiples of 36

What is the 5th multiple of 36?

The 5th multiple of 36 is 5×36 = 180.

Is 432 a multiple of 36?

Yes, 432 is a multiple of 36 because 36×12 = 432.

What is the next multiple of 36 after 360?

The next multiple of 36 after 360 is 360+36 = 396.

Find the 15th multiple of 36.

The 15th multiple of 36 is 15×36 = 540.

Is 725 a multiple of 36?

No, 725 is not a multiple of 36 because it cannot be expressed as 36×n.

FAQs