Q: What are the prime factors of the number 372,750,633?

 A: 3, 1823, 7573

Why are those the prime factors of the number 372,750,633?

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 372,750,633

372,750,633
Factor Arrows
3124,250,211
Factor Arrows
341,416,737
Factor Arrows
313,805,579
Factor Arrows
1,8237,573

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, 1823, 7573

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 1,823 x 7,573 = 372,750,633

This can also be written as 33 x 1,8231 x 7,5731 = 372,750,633

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


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