Q: What are the prime factors of the number 14,020,572?

 A: 2, 3, 29, 40289

Why are those the prime factors of the number 14,020,572?

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 14,020,572

14,020,572
Factor Arrows
27,010,286
Factor Arrows
23,505,143
Factor Arrows
31,168,381
Factor Arrows
2940,289

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, 29, 40289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 29 x 40,289 = 14,020,572

This can also be written as 22 x 31 x 291 x 40,2891 = 14,020,572

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


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