Q: What are the prime factors of the number 235,114,544?

 A: 2, 7, 299891

Why are those the prime factors of the number 235,114,544?

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 235,114,544

235,114,544
Factor Arrows
2117,557,272
Factor Arrows
258,778,636
Factor Arrows
229,389,318
Factor Arrows
214,694,659
Factor Arrows
72,099,237
Factor Arrows
7299,891

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, 7, 299891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 299,891 = 235,114,544

This can also be written as 24 x 72 x 299,8911 = 235,114,544

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


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