Q: What are the prime factors of the number 716,440,716?

 A: 2, 3, 43, 181, 2557

Why are those the prime factors of the number 716,440,716?

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 716,440,716

716,440,716
Factor Arrows
2358,220,358
Factor Arrows
2179,110,179
Factor Arrows
359,703,393
Factor Arrows
319,901,131
Factor Arrows
43462,817
Factor Arrows
1812,557

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, 3, 43, 181, 2557

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 43 x 181 x 2,557 = 716,440,716

This can also be written as 22 x 32 x 431 x 1811 x 2,5571 = 716,440,716

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


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