Q: What are the prime factors of the number 612,051?

 A: 3, 11, 17, 1091

Why are those the prime factors of the number 612,051?

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 612,051

612,051
Factor Arrows
3204,017
Factor Arrows
1118,547
Factor Arrows
171,091

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:

3, 11, 17, 1091

We can check our work by multiplying all of the prime factors together: 3 x 11 x 17 x 1,091 = 612,051

This can also be written as 31 x 111 x 171 x 1,0911 = 612,051

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


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