Q: What are the prime factors of the number 358,187,652?

 A: 2, 3, 9949657

Why are those the prime factors of the number 358,187,652?

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 358,187,652

358,187,652
Factor Arrows
2179,093,826
Factor Arrows
289,546,913
Factor Arrows
329,848,971
Factor Arrows
39,949,657

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, 9949657

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 9,949,657 = 358,187,652

This can also be written as 22 x 32 x 9,949,6571 = 358,187,652

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


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