Q: What are the prime factors of the number 14,924,020?

 A: 2, 5, 31, 24071

Why are those the prime factors of the number 14,924,020?

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 14,924,020

14,924,020
Factor Arrows
27,462,010
Factor Arrows
23,731,005
Factor Arrows
5746,201
Factor Arrows
3124,071

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, 5, 31, 24071

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 31 x 24,071 = 14,924,020

This can also be written as 22 x 51 x 311 x 24,0711 = 14,924,020

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


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