Q: What are the prime factors of the number 425,052,472?

 A: 2, 13, 757, 5399

Why are those the prime factors of the number 425,052,472?

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 425,052,472

425,052,472
Factor Arrows
2212,526,236
Factor Arrows
2106,263,118
Factor Arrows
253,131,559
Factor Arrows
134,087,043
Factor Arrows
7575,399

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, 13, 757, 5399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 757 x 5,399 = 425,052,472

This can also be written as 23 x 131 x 7571 x 5,3991 = 425,052,472

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


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