Q: What are the prime factors of the number 71,632,596?

 A: 2, 3, 7, 852769

Why are those the prime factors of the number 71,632,596?

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 71,632,596

71,632,596
Factor Arrows
235,816,298
Factor Arrows
217,908,149
Factor Arrows
35,969,383
Factor Arrows
7852,769

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, 7, 852769

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 852,769 = 71,632,596

This can also be written as 22 x 31 x 71 x 852,7691 = 71,632,596

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


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