Q: What are the prime factors of the number 68,710,566?

 A: 2, 3, 17, 79, 8527

Why are those the prime factors of the number 68,710,566?

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 68,710,566

68,710,566
Factor Arrows
234,355,283
Factor Arrows
311,451,761
Factor Arrows
17673,633
Factor Arrows
798,527

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, 17, 79, 8527

We can check our work by multiplying all of the prime factors together: 2 x 3 x 17 x 79 x 8,527 = 68,710,566

This can also be written as 21 x 31 x 171 x 791 x 8,5271 = 68,710,566

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


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