Q: What are the prime factors of the number 417,537,124?

 A: 2, 23, 4538447

Why are those the prime factors of the number 417,537,124?

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 417,537,124

417,537,124
Factor Arrows
2208,768,562
Factor Arrows
2104,384,281
Factor Arrows
234,538,447

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, 23, 4538447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 4,538,447 = 417,537,124

This can also be written as 22 x 231 x 4,538,4471 = 417,537,124

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


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