Q: What are the prime factors of the number 132,103,650?

 A: 2, 3, 5, 7, 125813

Why are those the prime factors of the number 132,103,650?

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 132,103,650

132,103,650
Factor Arrows
266,051,825
Factor Arrows
322,017,275
Factor Arrows
54,403,455
Factor Arrows
5880,691
Factor Arrows
7125,813

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, 5, 7, 125813

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 7 x 125,813 = 132,103,650

This can also be written as 21 x 31 x 52 x 71 x 125,8131 = 132,103,650

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


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