Q: What are the prime factors of the number 19,352,020?

 A: 2, 5, 107, 9043

Why are those the prime factors of the number 19,352,020?

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 19,352,020

19,352,020
Factor Arrows
29,676,010
Factor Arrows
24,838,005
Factor Arrows
5967,601
Factor Arrows
1079,043

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, 107, 9043

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 107 x 9,043 = 19,352,020

This can also be written as 22 x 51 x 1071 x 9,0431 = 19,352,020

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


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