Q: What are the prime factors of the number 34,480?

 A: 2, 5, 431

Why are those the prime factors of the number 34,480?

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 34,480

34,480
Factor Arrows
217,240
Factor Arrows
28,620
Factor Arrows
24,310
Factor Arrows
22,155
Factor Arrows
5431

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, 431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 431 = 34,480

This can also be written as 24 x 51 x 4311 = 34,480

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


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