Q: What are the prime factors of the number 110,541,520?

 A: 2, 5, 1381769

Why are those the prime factors of the number 110,541,520?

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 110,541,520

110,541,520
Factor Arrows
255,270,760
Factor Arrows
227,635,380
Factor Arrows
213,817,690
Factor Arrows
26,908,845
Factor Arrows
51,381,769

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, 1381769

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,381,769 = 110,541,520

This can also be written as 24 x 51 x 1,381,7691 = 110,541,520

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


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