Q: What are the prime factors of the number 264,130,372?

 A: 2, 11, 239, 25117

Why are those the prime factors of the number 264,130,372?

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 264,130,372

264,130,372
Factor Arrows
2132,065,186
Factor Arrows
266,032,593
Factor Arrows
116,002,963
Factor Arrows
23925,117

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, 11, 239, 25117

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 239 x 25,117 = 264,130,372

This can also be written as 22 x 111 x 2391 x 25,1171 = 264,130,372

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


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