Q: What are the prime factors of the number 745,223,072?

 A: 2, 11, 277, 7643

Why are those the prime factors of the number 745,223,072?

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 745,223,072

745,223,072
Factor Arrows
2372,611,536
Factor Arrows
2186,305,768
Factor Arrows
293,152,884
Factor Arrows
246,576,442
Factor Arrows
223,288,221
Factor Arrows
112,117,111
Factor Arrows
2777,643

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, 11, 277, 7643

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 277 x 7,643 = 745,223,072

This can also be written as 25 x 111 x 2771 x 7,6431 = 745,223,072

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


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