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Multiples of 36

The concept of multiples is fairly straightforward to grasp. It is basically adding the same number many times to get the answer you want. For example, Sam packs 36 candy lollypops in a packet every day. How many candy lollypops did he pack in the month of November? To know this we need to add the number 36 thirty times or simply find 36 x 30.

  • First five multiples of 36: 36, 72, 108, 144, and 180
  • Prime Factorization of 36: 36 = 2 × 2 × 3 × 3

Let us explore more about the multiples of 36 and their properties.

1. What Are the Multiples of 36?
2. First 20 Multiples of 36
3. Important Notes
4. FAQs on Multiples of 36

What Are the Multiples of 36?

When we multiply 36 with a positive integer, we get the positive multiples of 36 and when we multiply 36 with a negative integer, we obtain the negative multiples. The 12th multiple of 36 is 36 × 12 = 432. This list of multiples is never-ending; we can generate infinite multiples of 36.

Multiples of 36

List of First 20 Multiples of 36

Let us list the first 20 multiples of 36

Multiples of 36
36 × 1  = 36
36 × 2 = 72
36 × 3 = 108
36 × 4 = 144
36 × 5 = 180
36 × 6 = 216
36 × 7 = 252
36 × 8 = 288
36 × 9 = 324
36 × 10 = 360
36 ×11 = 396
36 × 12 = 432
36 x 13 = 468
36 x 14 = 504
36 x 15 = 540
36 × 16 = 576
36 × 17 = 612
36 × 18 = 648
36 × 19 = 684
36 × 20 = 720
  • The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. 
  • We should note that the multiples of 36 will also be the multiples of each of its factors.
  • For example, 36 × 2 = 72 and 36 × 3 = 108. 72 and 108 are the multiples of 36.

To understand the concept of finding multiples, let us take a few more examples.

Important Notes

  • A number can have infinite multiples.
  • 36 is an even number, so its multiples will also be even.

Challenging Questions

  • If a number X is a multiple of 4, then is it true that it will be a multiple of 36 also? Why?
  •  If 36 = 22  × 32 and there is another number A = 32 × 23, then is A a multiple of 36 or is it a factor of 36?
 

Multiples of 36 Solved Examples

  1. Example 1: On Monday, Nicole read thrice the number of pages that she read the previous day, which was Sunday. If she read 12 pages on Sunday, how many pages did she read on Monday?

    Solution:

    To find the answer to this, we need to know the multiples of 12.

    Number of pages read on Monday = 3 × Number of pages read on Sunday

    3 × 12 = 36 

  2. Example 2: Myra has 4 notes of $100 and Jack has 36 notes of $20. Who has more money?

    Solution:

    If we know the multiples of 4 and 36, we can find the amount of money that each of them has.

    Amount that Myra has 4 × 100 = $400

    Amount that Jack has 36 × 20= $720

    As 720 > 400, we can say that Jack has more money than Myra.

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FAQs on Multiples of 36

How do you find the 5th multiple of 36?

Multiply 36 by 5 and get the multiple as 36 × 5 = 180.

Can we say that 12 and 18 are the multiples of 36?

12 and 18 are factors of 36. They make 36 with their pairs. So they are not multiples of 36.

What are the first five multiples of 36?

The first five multiples of 36 are 36, 72, 108, 144, and 180.

What 3 numbers have a product of 36?

The possible combinations of 3 numbers which give the product as 36 are (1,1,36), (1,3,12), (1,2,18), (1,6,6), (1,4,9), (2,3,6), (2,2,9), (3,3,4).

What are common multiples of 36 and 24?

The multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 

The multiples of 24 are 24, 48, 72, 96,120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360  and so on.

The common multiples of 36 and 24 are 144, 216, 288, 360, and so on. 

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