Q: What are the prime factors of the number 116,025,520?

 A: 2, 5, 13, 29, 3847

Why are those the prime factors of the number 116,025,520?

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 116,025,520

116,025,520
Factor Arrows
258,012,760
Factor Arrows
229,006,380
Factor Arrows
214,503,190
Factor Arrows
27,251,595
Factor Arrows
51,450,319
Factor Arrows
13111,563
Factor Arrows
293,847

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, 13, 29, 3847

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 29 x 3,847 = 116,025,520

This can also be written as 24 x 51 x 131 x 291 x 3,8471 = 116,025,520

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


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