Q: What are the prime factors of the number 271,264,060?

 A: 2, 5, 139, 97577

Why are those the prime factors of the number 271,264,060?

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 271,264,060

271,264,060
Factor Arrows
2135,632,030
Factor Arrows
267,816,015
Factor Arrows
513,563,203
Factor Arrows
13997,577

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, 139, 97577

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 139 x 97,577 = 271,264,060

This can also be written as 22 x 51 x 1391 x 97,5771 = 271,264,060

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


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