Q: What are the prime factors of the number 123,336,600?

 A: 2, 3, 5, 19, 31, 349

Why are those the prime factors of the number 123,336,600?

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 123,336,600

123,336,600
Factor Arrows
261,668,300
Factor Arrows
230,834,150
Factor Arrows
215,417,075
Factor Arrows
35,139,025
Factor Arrows
51,027,805
Factor Arrows
5205,561
Factor Arrows
1910,819
Factor Arrows
31349

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, 19, 31, 349

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 19 x 31 x 349 = 123,336,600

This can also be written as 23 x 31 x 52 x 191 x 311 x 3491 = 123,336,600

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


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