Q: What are the prime factors of the number 715,505,546?

 A: 2, 7, 1043011

Why are those the prime factors of the number 715,505,546?

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 715,505,546

715,505,546
Factor Arrows
2357,752,773
Factor Arrows
751,107,539
Factor Arrows
77,301,077
Factor Arrows
71,043,011

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, 7, 1043011

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 7 x 1,043,011 = 715,505,546

This can also be written as 21 x 73 x 1,043,0111 = 715,505,546

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


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