Q: What are the prime factors of the number 217,080,702?

 A: 2, 3, 37, 108649

Why are those the prime factors of the number 217,080,702?

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 217,080,702

217,080,702
Factor Arrows
2108,540,351
Factor Arrows
336,180,117
Factor Arrows
312,060,039
Factor Arrows
34,020,013
Factor Arrows
37108,649

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, 37, 108649

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 37 x 108,649 = 217,080,702

This can also be written as 21 x 33 x 371 x 108,6491 = 217,080,702

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


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