Q: What are the prime factors of the number 32,865,872?

 A: 2, 13, 158009

Why are those the prime factors of the number 32,865,872?

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 32,865,872

32,865,872
Factor Arrows
216,432,936
Factor Arrows
28,216,468
Factor Arrows
24,108,234
Factor Arrows
22,054,117
Factor Arrows
13158,009

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, 13, 158009

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 158,009 = 32,865,872

This can also be written as 24 x 131 x 158,0091 = 32,865,872

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


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