Q: What are the prime factors of the number 271,037,076?

 A: 2, 3, 911, 24793

Why are those the prime factors of the number 271,037,076?

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 271,037,076

271,037,076
Factor Arrows
2135,518,538
Factor Arrows
267,759,269
Factor Arrows
322,586,423
Factor Arrows
91124,793

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, 3, 911, 24793

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 911 x 24,793 = 271,037,076

This can also be written as 22 x 31 x 9111 x 24,7931 = 271,037,076

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


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