Q: What are the prime factors of the number 425,550,356?

 A: 2, 7, 11, 53, 131, 199

Why are those the prime factors of the number 425,550,356?

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 425,550,356

425,550,356
Factor Arrows
2212,775,178
Factor Arrows
2106,387,589
Factor Arrows
715,198,227
Factor Arrows
111,381,657
Factor Arrows
5326,069
Factor Arrows
131199

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, 7, 11, 53, 131, 199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 53 x 131 x 199 = 425,550,356

This can also be written as 22 x 71 x 111 x 531 x 1311 x 1991 = 425,550,356

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


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