Q: What are the prime factors of the number 719,560?

 A: 2, 5, 17989

Why are those the prime factors of the number 719,560?

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 719,560

719,560
Factor Arrows
2359,780
Factor Arrows
2179,890
Factor Arrows
289,945
Factor Arrows
517,989

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, 17989

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 17,989 = 719,560

This can also be written as 23 x 51 x 17,9891 = 719,560

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


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