Q: What are the prime factors of the number 31,112,550?

 A: 2, 3, 5, 7, 17, 83

Why are those the prime factors of the number 31,112,550?

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 31,112,550

31,112,550
Factor Arrows
215,556,275
Factor Arrows
35,185,425
Factor Arrows
31,728,475
Factor Arrows
5345,695
Factor Arrows
569,139
Factor Arrows
79,877
Factor Arrows
71,411
Factor Arrows
1783

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, 7, 17, 83

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 7 x 7 x 17 x 83 = 31,112,550

This can also be written as 21 x 32 x 52 x 72 x 171 x 831 = 31,112,550

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


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