Q: What are the prime factors of the number 30,037,563?

 A: 3, 23, 145109

Why are those the prime factors of the number 30,037,563?

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 30,037,563

30,037,563
Factor Arrows
310,012,521
Factor Arrows
33,337,507
Factor Arrows
23145,109

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, 23, 145109

We can check our work by multiplying all of the prime factors together: 3 x 3 x 23 x 145,109 = 30,037,563

This can also be written as 32 x 231 x 145,1091 = 30,037,563

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


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