Q: What are the prime factors of the number 132,681,400?

 A: 2, 5, 663407

Why are those the prime factors of the number 132,681,400?

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 132,681,400

132,681,400
Factor Arrows
266,340,700
Factor Arrows
233,170,350
Factor Arrows
216,585,175
Factor Arrows
53,317,035
Factor Arrows
5663,407

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, 5, 663407

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 663,407 = 132,681,400

This can also be written as 23 x 52 x 663,4071 = 132,681,400

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


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