Q: What are the prime factors of the number 13,071,740?

 A: 2, 5, 11, 59417

Why are those the prime factors of the number 13,071,740?

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 13,071,740

13,071,740
Factor Arrows
26,535,870
Factor Arrows
23,267,935
Factor Arrows
5653,587
Factor Arrows
1159,417

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:

2, 5, 11, 59417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 59,417 = 13,071,740

This can also be written as 22 x 51 x 111 x 59,4171 = 13,071,740

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


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