Q: What are the prime factors of the number 16,717,032?

 A: 2, 3, 79, 2939

Why are those the prime factors of the number 16,717,032?

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 16,717,032

16,717,032
Factor Arrows
28,358,516
Factor Arrows
24,179,258
Factor Arrows
22,089,629
Factor Arrows
3696,543
Factor Arrows
3232,181
Factor Arrows
792,939

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, 79, 2939

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 79 x 2,939 = 16,717,032

This can also be written as 23 x 32 x 791 x 2,9391 = 16,717,032

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


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