Q: What are the prime factors of the number 15,655,424?

 A: 2, 30577

Why are those the prime factors of the number 15,655,424?

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 15,655,424

15,655,424
Factor Arrows
27,827,712
Factor Arrows
23,913,856
Factor Arrows
21,956,928
Factor Arrows
2978,464
Factor Arrows
2489,232
Factor Arrows
2244,616
Factor Arrows
2122,308
Factor Arrows
261,154
Factor Arrows
230,577

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, 30577

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 30,577 = 15,655,424

This can also be written as 29 x 30,5771 = 15,655,424

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


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