Q: What are the prime factors of the number 13,472,955?

 A: 3, 5, 157, 1907

Why are those the prime factors of the number 13,472,955?

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 13,472,955

13,472,955
Factor Arrows
34,490,985
Factor Arrows
31,496,995
Factor Arrows
5299,399
Factor Arrows
1571,907

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, 5, 157, 1907

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 157 x 1,907 = 13,472,955

This can also be written as 32 x 51 x 1571 x 1,9071 = 13,472,955

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


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