Q: What are the prime factors of the number 55,111,050?

 A: 2, 3, 5, 40823

Why are those the prime factors of the number 55,111,050?

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 55,111,050

55,111,050
Factor Arrows
227,555,525
Factor Arrows
39,185,175
Factor Arrows
33,061,725
Factor Arrows
31,020,575
Factor Arrows
5204,115
Factor Arrows
540,823

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, 40823

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 5 x 40,823 = 55,111,050

This can also be written as 21 x 33 x 52 x 40,8231 = 55,111,050

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


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