Q: What are the prime factors of the number 123,352,502?

 A: 2, 7, 13, 96823

Why are those the prime factors of the number 123,352,502?

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 123,352,502

123,352,502
Factor Arrows
261,676,251
Factor Arrows
78,810,893
Factor Arrows
71,258,699
Factor Arrows
1396,823

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, 7, 13, 96823

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 13 x 96,823 = 123,352,502

This can also be written as 21 x 72 x 131 x 96,8231 = 123,352,502

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


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