Q: What are the prime factors of the number 132,032,425?

 A: 5, 7, 19, 39709

Why are those the prime factors of the number 132,032,425?

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 132,032,425

132,032,425
Factor Arrows
526,406,485
Factor Arrows
55,281,297
Factor Arrows
7754,471
Factor Arrows
1939,709

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:

5, 7, 19, 39709

We can check our work by multiplying all of the prime factors together: 5 x 5 x 7 x 19 x 39,709 = 132,032,425

This can also be written as 52 x 71 x 191 x 39,7091 = 132,032,425

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


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