Q: What are the prime factors of the number 110,051,540?

 A: 2, 5, 17, 431, 751

Why are those the prime factors of the number 110,051,540?

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 110,051,540

110,051,540
Factor Arrows
255,025,770
Factor Arrows
227,512,885
Factor Arrows
55,502,577
Factor Arrows
17323,681
Factor Arrows
431751

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, 5, 17, 431, 751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17 x 431 x 751 = 110,051,540

This can also be written as 22 x 51 x 171 x 4311 x 7511 = 110,051,540

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


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