Q: What are the prime factors of the number 271,188,330?

 A: 2, 3, 5, 7, 19, 67967

Why are those the prime factors of the number 271,188,330?

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 271,188,330

271,188,330
Factor Arrows
2135,594,165
Factor Arrows
345,198,055
Factor Arrows
59,039,611
Factor Arrows
71,291,373
Factor Arrows
1967,967

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, 5, 7, 19, 67967

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 19 x 67,967 = 271,188,330

This can also be written as 21 x 31 x 51 x 71 x 191 x 67,9671 = 271,188,330

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


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