Q: What are the prime factors of the number 116,940,480?

 A: 2, 3, 5, 181, 673

Why are those the prime factors of the number 116,940,480?

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 116,940,480

116,940,480
Factor Arrows
258,470,240
Factor Arrows
229,235,120
Factor Arrows
214,617,560
Factor Arrows
27,308,780
Factor Arrows
23,654,390
Factor Arrows
21,827,195
Factor Arrows
3609,065
Factor Arrows
5121,813
Factor Arrows
181673

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, 181, 673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 181 x 673 = 116,940,480

This can also be written as 26 x 31 x 51 x 1811 x 6731 = 116,940,480

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


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