Q: What are the prime factors of the number 637,648,184?

 A: 2, 79, 1008937

Why are those the prime factors of the number 637,648,184?

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 637,648,184

637,648,184
Factor Arrows
2318,824,092
Factor Arrows
2159,412,046
Factor Arrows
279,706,023
Factor Arrows
791,008,937

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, 79, 1008937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 79 x 1,008,937 = 637,648,184

This can also be written as 23 x 791 x 1,008,9371 = 637,648,184

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


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