Q: What are the prime factors of the number 21,531,510?

 A: 2, 3, 5, 7, 11, 13, 239

Why are those the prime factors of the number 21,531,510?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 21,531,510

21,531,510
Factor Arrows
210,765,755
Factor Arrows
33,588,585
Factor Arrows
31,196,195
Factor Arrows
5239,239
Factor Arrows
734,177
Factor Arrows
113,107
Factor Arrows
13239

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 7, 11, 13, 239

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 11 x 13 x 239 = 21,531,510

This can also be written as 21 x 32 x 51 x 71 x 111 x 131 x 2391 = 21,531,510

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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