Q: What are the prime factors of the number 35,064?

 A: 2, 3, 487

Why are those the prime factors of the number 35,064?

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 35,064

35,064
Factor Arrows
217,532
Factor Arrows
28,766
Factor Arrows
24,383
Factor Arrows
31,461
Factor Arrows
3487

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, 487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 487 = 35,064

This can also be written as 23 x 32 x 4871 = 35,064

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


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