Does 12 go into 100?

The multiples of 12 up to 100 are 12, 24, 36, 48, 60, 72, 84, and 96.

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Multiples of 12

The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 120, etc. It is a sequence where the difference between each next number and the preceding number, i.e. two consecutive multiples or products, is 12. Multiples are the numbers that give products of any number multiplied by other natural numbers. There is a difference between factors and multiples, which you can learn here. We know that 12 is a factor of 12, and also 12 is a multiple of 12.

What are Multiples of 12?

The multiples of 12 are the numbers that are generated when 12 is multiplied by any natural number. That means any number that can be expressed in the form of 12n where n is an integer is a multiple of 12. As we know, if two values, p and q, are there, we say that q is a multiple of p if q = np for some integer n.

Some of the multiples of 12 include the following.

12, 24, 36, 48,…., 96, .., 144,…

Thus, as per the definition given above, the multiple of 12 is obtained by multiplying some integer with 12. For example, 72, 84, 132 and 156 are all multiples of 12 for the following reasons. 12 × 6 = 72 12 multiplied by 6 to get 72 12 × 7 = 84 12 multiplied by 7 to get 84 12 × 11 = 132 12 multiplied by 11 to get 132 12 × 13 = 156 12 multiplied by 13 to get 156 We can also find the multiples through the repeated addition of a number as many times as required.

5 multiples of 12

To get the first five multiples of 12, we have to multiply 12 by 1, 2, 3, 4 and 5 or add the number of times as shown below:

The first multiple of 12 is: 12 × 1 = 12

The second multiple of 12 is: 12 × 2 = 24 Or 12 + 12 = 24 {here 12 is added for twice} The third multiple of 12 is: 12 × 3 = 36 Or 12 + 12 + 12 = 36 {here 12 is added for thrice} The fourth multiple of 12 is: 12 × 4 = 48 Or 12 + 12 + 12 + 12 = 48 The fifth multiple of 12 is: 12 × 5 = 60 Or 12 + 12 + 12 + 12 + 12 = 60

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Similarly, we write several multiples of the given numbers.

Multiples of 12 Table

Go through the table given below to get the first 20 multiples of 12 along with the multiplication notation in each case. Multiplication of 12 with numbers Multiples of 12 12 × 1 12 12 × 2 24 12 × 3 36 12 × 4 48 12 × 5 60 12 × 6 72 12 × 7 84 12 × 8 96 12 × 9 108 12 × 10 120 12 × 11 132 12 × 12 144 12 × 13 156 12 × 14 168 12 × 15 180 12 × 16 192 12 × 17 204 12 × 18 216 12 × 19 228 12 × 20 240 From the above table, we can say that the multiples of the number 12 are the results in the multiplication table of 12, as both are the same.

All multiples of 12

All the multiples of number of 12 are :

12, 24, 36, 48, 60, 72, 84, 96, 108, 120,

132, 144, 156, 168, 180, 192, 204, 216, 228, 240,

252, 264, 276, 288, 300, 312, 324, 336, 348, 360,

372, 384, 396, 408, 420, 432, 444, 456, 468, 480,

492, 504, 516, 528, 540, 552, 564, 576, 588, 600, etc.

What is a multiple and factor of 12?

As we already discussed, multiples are the n-times of any given number. But factors are the numbers which when multiplied together, produce the original number. The multiples of any number could get extended till any number of times, but the factors are fixed for any numbers. The multiples of 12 are 12, 36, 48, 60, 72, 84, 96, etc. The factors of 12 are 1, 2, 3, 4, 6 and 12.

Video Lesson on Common Multiples

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byjus.com - Multiples of 12 - Difference between multiples and factors of 12 - Byjus

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