Q: What are the prime factors of the number 16,684,020?

 A: 2, 3, 5, 59, 1571

Why are those the prime factors of the number 16,684,020?

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 16,684,020

16,684,020
Factor Arrows
28,342,010
Factor Arrows
24,171,005
Factor Arrows
31,390,335
Factor Arrows
3463,445
Factor Arrows
592,689
Factor Arrows
591,571

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, 59, 1571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 59 x 1,571 = 16,684,020

This can also be written as 22 x 32 x 51 x 591 x 1,5711 = 16,684,020

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


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