Q: What are the prime factors of the number 129,248?

 A: 2, 7, 577

Why are those the prime factors of the number 129,248?

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 129,248

129,248
Factor Arrows
264,624
Factor Arrows
232,312
Factor Arrows
216,156
Factor Arrows
28,078
Factor Arrows
24,039
Factor Arrows
7577

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, 577

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 577 = 129,248

This can also be written as 25 x 71 x 5771 = 129,248

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


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