Q: What are the prime factors of the number 141,710,832?

 A: 2, 3, 79, 12457

Why are those the prime factors of the number 141,710,832?

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 141,710,832

141,710,832
Factor Arrows
270,855,416
Factor Arrows
235,427,708
Factor Arrows
217,713,854
Factor Arrows
28,856,927
Factor Arrows
32,952,309
Factor Arrows
3984,103
Factor Arrows
7912,457

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, 79, 12457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 79 x 12,457 = 141,710,832

This can also be written as 24 x 32 x 791 x 12,4571 = 141,710,832

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


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