Q: What are the prime factors of the number 32,006,130?

 A: 2, 3, 5, 13, 82067

Why are those the prime factors of the number 32,006,130?

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 32,006,130

32,006,130
Factor Arrows
216,003,065
Factor Arrows
35,334,355
Factor Arrows
51,066,871
Factor Arrows
1382,067

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, 5, 13, 82067

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 13 x 82,067 = 32,006,130

This can also be written as 21 x 31 x 51 x 131 x 82,0671 = 32,006,130

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


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