Q: What are the prime factors of the number 106,612,400?

 A: 2, 5, 179, 1489

Why are those the prime factors of the number 106,612,400?

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 106,612,400

106,612,400
Factor Arrows
253,306,200
Factor Arrows
226,653,100
Factor Arrows
213,326,550
Factor Arrows
26,663,275
Factor Arrows
51,332,655
Factor Arrows
5266,531
Factor Arrows
1791,489

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, 179, 1489

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 179 x 1,489 = 106,612,400

This can also be written as 24 x 52 x 1791 x 1,4891 = 106,612,400

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


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