Q: What are the prime factors of the number 39,456,368?

 A: 2, 7, 59, 853

Why are those the prime factors of the number 39,456,368?

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 39,456,368

39,456,368
Factor Arrows
219,728,184
Factor Arrows
29,864,092
Factor Arrows
24,932,046
Factor Arrows
22,466,023
Factor Arrows
7352,289
Factor Arrows
750,327
Factor Arrows
59853

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, 7, 59, 853

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 59 x 853 = 39,456,368

This can also be written as 24 x 72 x 591 x 8531 = 39,456,368

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


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