Q: What are the prime factors of the number 14,880,585?

 A: 3, 5, 853, 1163

Why are those the prime factors of the number 14,880,585?

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 14,880,585

14,880,585
Factor Arrows
34,960,195
Factor Arrows
5992,039
Factor Arrows
8531,163

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, 5, 853, 1163

We can check our work by multiplying all of the prime factors together: 3 x 5 x 853 x 1,163 = 14,880,585

This can also be written as 31 x 51 x 8531 x 1,1631 = 14,880,585

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


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