Q: What are the prime factors of the number 750,467,008?

 A: 2, 11726047

Why are those the prime factors of the number 750,467,008?

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 750,467,008

750,467,008
Factor Arrows
2375,233,504
Factor Arrows
2187,616,752
Factor Arrows
293,808,376
Factor Arrows
246,904,188
Factor Arrows
223,452,094
Factor Arrows
211,726,047

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, 11726047

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 11,726,047 = 750,467,008

This can also be written as 26 x 11,726,0471 = 750,467,008

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


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