Q: What are the prime factors of the number 32,706,708?

 A: 2, 3, 17, 9431

Why are those the prime factors of the number 32,706,708?

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 32,706,708

32,706,708
Factor Arrows
216,353,354
Factor Arrows
28,176,677
Factor Arrows
32,725,559
Factor Arrows
17160,327
Factor Arrows
179,431

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, 9431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 17 x 9,431 = 32,706,708

This can also be written as 22 x 31 x 172 x 9,4311 = 32,706,708

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


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