Q: What are the prime factors of the number 717,474,232?

 A: 2, 5903, 15193

Why are those the prime factors of the number 717,474,232?

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 717,474,232

717,474,232
Factor Arrows
2358,737,116
Factor Arrows
2179,368,558
Factor Arrows
289,684,279
Factor Arrows
5,90315,193

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, 5903, 15193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5,903 x 15,193 = 717,474,232

This can also be written as 23 x 5,9031 x 15,1931 = 717,474,232

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


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