Q: What are the prime factors of the number 110,553,430?

 A: 2, 5, 13, 43, 19777

Why are those the prime factors of the number 110,553,430?

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 110,553,430

110,553,430
Factor Arrows
255,276,715
Factor Arrows
511,055,343
Factor Arrows
13850,411
Factor Arrows
4319,777

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, 13, 43, 19777

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 43 x 19,777 = 110,553,430

This can also be written as 21 x 51 x 131 x 431 x 19,7771 = 110,553,430

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


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