Q: What are the prime factors of the number 110,443,732?

 A: 2, 7, 19, 53, 3917

Why are those the prime factors of the number 110,443,732?

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 110,443,732

110,443,732
Factor Arrows
255,221,866
Factor Arrows
227,610,933
Factor Arrows
73,944,419
Factor Arrows
19207,601
Factor Arrows
533,917

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, 7, 19, 53, 3917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 19 x 53 x 3,917 = 110,443,732

This can also be written as 22 x 71 x 191 x 531 x 3,9171 = 110,443,732

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


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