Q: What are the prime factors of the number 23,207,430?

 A: 2, 3, 5, 73, 10597

Why are those the prime factors of the number 23,207,430?

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 23,207,430

23,207,430
Factor Arrows
211,603,715
Factor Arrows
33,867,905
Factor Arrows
5773,581
Factor Arrows
7310,597

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, 5, 73, 10597

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 73 x 10,597 = 23,207,430

This can also be written as 21 x 31 x 51 x 731 x 10,5971 = 23,207,430

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


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