Q: What are the prime factors of the number 16,465,976?

 A: 2, 23, 109, 821

Why are those the prime factors of the number 16,465,976?

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 16,465,976

16,465,976
Factor Arrows
28,232,988
Factor Arrows
24,116,494
Factor Arrows
22,058,247
Factor Arrows
2389,489
Factor Arrows
109821

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, 23, 109, 821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 109 x 821 = 16,465,976

This can also be written as 23 x 231 x 1091 x 8211 = 16,465,976

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


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