Q: What are the prime factors of the number 32,025,051?

 A: 3, 19, 20809

Why are those the prime factors of the number 32,025,051?

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 32,025,051

32,025,051
Factor Arrows
310,675,017
Factor Arrows
33,558,339
Factor Arrows
31,186,113
Factor Arrows
3395,371
Factor Arrows
1920,809

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:

3, 19, 20809

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 19 x 20,809 = 32,025,051

This can also be written as 34 x 191 x 20,8091 = 32,025,051

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


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