Q: What are the prime factors of the number 717,244,126?

 A: 2, 73, 131, 37501

Why are those the prime factors of the number 717,244,126?

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 717,244,126

717,244,126
Factor Arrows
2358,622,063
Factor Arrows
734,912,631
Factor Arrows
13137,501

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, 73, 131, 37501

We can check our work by multiplying all of the prime factors together: 2 x 73 x 131 x 37,501 = 717,244,126

This can also be written as 21 x 731 x 1311 x 37,5011 = 717,244,126

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


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