Q: What are the prime factors of the number 14,958,573?

 A: 3, 7, 14537

Why are those the prime factors of the number 14,958,573?

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 14,958,573

14,958,573
Factor Arrows
34,986,191
Factor Arrows
7712,313
Factor Arrows
7101,759
Factor Arrows
714,537

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, 7, 14537

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 7 x 14,537 = 14,958,573

This can also be written as 31 x 73 x 14,5371 = 14,958,573

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


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