Q: What are the prime factors of the number 19,369,616?

 A: 2, 7, 163, 1061

Why are those the prime factors of the number 19,369,616?

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 19,369,616

19,369,616
Factor Arrows
29,684,808
Factor Arrows
24,842,404
Factor Arrows
22,421,202
Factor Arrows
21,210,601
Factor Arrows
7172,943
Factor Arrows
1631,061

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, 7, 163, 1061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 163 x 1,061 = 19,369,616

This can also be written as 24 x 71 x 1631 x 1,0611 = 19,369,616

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


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