Q: What are the prime factors of the number 757,110,264?

 A: 2, 3, 41, 769421

Why are those the prime factors of the number 757,110,264?

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 757,110,264

757,110,264
Factor Arrows
2378,555,132
Factor Arrows
2189,277,566
Factor Arrows
294,638,783
Factor Arrows
331,546,261
Factor Arrows
41769,421

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, 41, 769421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 41 x 769,421 = 757,110,264

This can also be written as 23 x 31 x 411 x 769,4211 = 757,110,264

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


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