Q: What are the prime factors of the number 116,710,620?

 A: 2, 3, 5, 13, 149629

Why are those the prime factors of the number 116,710,620?

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 116,710,620

116,710,620
Factor Arrows
258,355,310
Factor Arrows
229,177,655
Factor Arrows
39,725,885
Factor Arrows
51,945,177
Factor Arrows
13149,629

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, 13, 149629

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 13 x 149,629 = 116,710,620

This can also be written as 22 x 31 x 51 x 131 x 149,6291 = 116,710,620

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


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