Q: What are the prime factors of the number 719,648?

 A: 2, 43, 523

Why are those the prime factors of the number 719,648?

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 719,648

719,648
Factor Arrows
2359,824
Factor Arrows
2179,912
Factor Arrows
289,956
Factor Arrows
244,978
Factor Arrows
222,489
Factor Arrows
43523

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, 43, 523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 523 = 719,648

This can also be written as 25 x 431 x 5231 = 719,648

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


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