Q: What are the prime factors of the number 21,145,113?

 A: 3, 11, 19417

Why are those the prime factors of the number 21,145,113?

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 21,145,113

21,145,113
Factor Arrows
37,048,371
Factor Arrows
32,349,457
Factor Arrows
11213,587
Factor Arrows
1119,417

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:

3, 11, 19417

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 11 x 19,417 = 21,145,113

This can also be written as 32 x 112 x 19,4171 = 21,145,113

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


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