Q: What are the prime factors of the number 32,406,112?

 A: 2, 1012691

Why are those the prime factors of the number 32,406,112?

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 32,406,112

32,406,112
Factor Arrows
216,203,056
Factor Arrows
28,101,528
Factor Arrows
24,050,764
Factor Arrows
22,025,382
Factor Arrows
21,012,691

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, 1012691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 1,012,691 = 32,406,112

This can also be written as 25 x 1,012,6911 = 32,406,112

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


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