Q: What are the prime factors of the number 23,727,312?

 A: 2, 3, 7, 23539

Why are those the prime factors of the number 23,727,312?

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 23,727,312

23,727,312
Factor Arrows
211,863,656
Factor Arrows
25,931,828
Factor Arrows
22,965,914
Factor Arrows
21,482,957
Factor Arrows
3494,319
Factor Arrows
3164,773
Factor Arrows
723,539

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, 7, 23539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 7 x 23,539 = 23,727,312

This can also be written as 24 x 32 x 71 x 23,5391 = 23,727,312

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


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