Q: What are the prime factors of the number 723,267,552?

 A: 2, 3, 7, 41, 26251

Why are those the prime factors of the number 723,267,552?

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 723,267,552

723,267,552
Factor Arrows
2361,633,776
Factor Arrows
2180,816,888
Factor Arrows
290,408,444
Factor Arrows
245,204,222
Factor Arrows
222,602,111
Factor Arrows
37,534,037
Factor Arrows
71,076,291
Factor Arrows
4126,251

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, 41, 26251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 7 x 41 x 26,251 = 723,267,552

This can also be written as 25 x 31 x 71 x 411 x 26,2511 = 723,267,552

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


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