Q: What are the prime factors of the number 32,022,132?

 A: 2, 3, 31, 59, 1459

Why are those the prime factors of the number 32,022,132?

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 32,022,132

32,022,132
Factor Arrows
216,011,066
Factor Arrows
28,005,533
Factor Arrows
32,668,511
Factor Arrows
3186,081
Factor Arrows
591,459

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, 31, 59, 1459

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 59 x 1,459 = 32,022,132

This can also be written as 22 x 31 x 311 x 591 x 1,4591 = 32,022,132

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


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