Q: What are the prime factors of the number 116,144,560?

 A: 2, 5, 7, 207401

Why are those the prime factors of the number 116,144,560?

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 116,144,560

116,144,560
Factor Arrows
258,072,280
Factor Arrows
229,036,140
Factor Arrows
214,518,070
Factor Arrows
27,259,035
Factor Arrows
51,451,807
Factor Arrows
7207,401

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, 7, 207401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 207,401 = 116,144,560

This can also be written as 24 x 51 x 71 x 207,4011 = 116,144,560

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


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