Q: What are the prime factors of the number 760,664,120?

 A: 2, 5, 19016603

Why are those the prime factors of the number 760,664,120?

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 760,664,120

760,664,120
Factor Arrows
2380,332,060
Factor Arrows
2190,166,030
Factor Arrows
295,083,015
Factor Arrows
519,016,603

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, 5, 19016603

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19,016,603 = 760,664,120

This can also be written as 23 x 51 x 19,016,6031 = 760,664,120

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


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