Q: What are the prime factors of the number 128,823,507?

 A: 3, 31, 153911

Why are those the prime factors of the number 128,823,507?

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 128,823,507

128,823,507
Factor Arrows
342,941,169
Factor Arrows
314,313,723
Factor Arrows
34,771,241
Factor Arrows
31153,911

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, 31, 153911

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 31 x 153,911 = 128,823,507

This can also be written as 33 x 311 x 153,9111 = 128,823,507

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


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