Q: What are the prime factors of the number 32,207,172?

 A: 2, 3, 43, 62417

Why are those the prime factors of the number 32,207,172?

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 32,207,172

32,207,172
Factor Arrows
216,103,586
Factor Arrows
28,051,793
Factor Arrows
32,683,931
Factor Arrows
4362,417

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, 43, 62417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 43 x 62,417 = 32,207,172

This can also be written as 22 x 31 x 431 x 62,4171 = 32,207,172

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


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