Q: What are the prime factors of the number 425,020,440?

 A: 2, 3, 5, 13, 272449

Why are those the prime factors of the number 425,020,440?

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 425,020,440

425,020,440
Factor Arrows
2212,510,220
Factor Arrows
2106,255,110
Factor Arrows
253,127,555
Factor Arrows
317,709,185
Factor Arrows
53,541,837
Factor Arrows
13272,449

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, 13, 272449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 13 x 272,449 = 425,020,440

This can also be written as 23 x 31 x 51 x 131 x 272,4491 = 425,020,440

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


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