Q: What are the prime factors of the number 745,042,552?

 A: 2, 7691, 12109

Why are those the prime factors of the number 745,042,552?

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 745,042,552

745,042,552
Factor Arrows
2372,521,276
Factor Arrows
2186,260,638
Factor Arrows
293,130,319
Factor Arrows
7,69112,109

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, 7691, 12109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7,691 x 12,109 = 745,042,552

This can also be written as 23 x 7,6911 x 12,1091 = 745,042,552

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


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