Q: What are the prime factors of the number 18,690,536?

 A: 2, 23, 157, 647

Why are those the prime factors of the number 18,690,536?

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 18,690,536

18,690,536
Factor Arrows
29,345,268
Factor Arrows
24,672,634
Factor Arrows
22,336,317
Factor Arrows
23101,579
Factor Arrows
157647

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, 157, 647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 157 x 647 = 18,690,536

This can also be written as 23 x 231 x 1571 x 6471 = 18,690,536

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


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