Q: What are the prime factors of the number 32,135,158?

 A: 2, 11, 31, 47119

Why are those the prime factors of the number 32,135,158?

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 32,135,158

32,135,158
Factor Arrows
216,067,579
Factor Arrows
111,460,689
Factor Arrows
3147,119

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, 11, 31, 47119

We can check our work by multiplying all of the prime factors together: 2 x 11 x 31 x 47,119 = 32,135,158

This can also be written as 21 x 111 x 311 x 47,1191 = 32,135,158

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


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