Q: What are the prime factors of the number 24,727,936?

 A: 2, 61, 3167

Why are those the prime factors of the number 24,727,936?

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 24,727,936

24,727,936
Factor Arrows
212,363,968
Factor Arrows
26,181,984
Factor Arrows
23,090,992
Factor Arrows
21,545,496
Factor Arrows
2772,748
Factor Arrows
2386,374
Factor Arrows
2193,187
Factor Arrows
613,167

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, 61, 3167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61 x 3,167 = 24,727,936

This can also be written as 27 x 611 x 3,1671 = 24,727,936

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


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