Q: What are the prime factors of the number 135,616,467?

 A: 3, 7, 922561

Why are those the prime factors of the number 135,616,467?

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 135,616,467

135,616,467
Factor Arrows
345,205,489
Factor Arrows
76,457,927
Factor Arrows
7922,561

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:

3, 7, 922561

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 922,561 = 135,616,467

This can also be written as 31 x 72 x 922,5611 = 135,616,467

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


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