Q: What are the prime factors of the number 55,651,266?

 A: 2, 3, 11, 19, 4931

Why are those the prime factors of the number 55,651,266?

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 55,651,266

55,651,266
Factor Arrows
227,825,633
Factor Arrows
39,275,211
Factor Arrows
33,091,737
Factor Arrows
31,030,579
Factor Arrows
1193,689
Factor Arrows
194,931

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, 11, 19, 4931

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 11 x 19 x 4,931 = 55,651,266

This can also be written as 21 x 33 x 111 x 191 x 4,9311 = 55,651,266

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


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