Q: What are the prime factors of the number 292,064?

 A: 2, 9127

Why are those the prime factors of the number 292,064?

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 292,064

292,064
Factor Arrows
2146,032
Factor Arrows
273,016
Factor Arrows
236,508
Factor Arrows
218,254
Factor Arrows
29,127

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, 9127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 9,127 = 292,064

This can also be written as 25 x 9,1271 = 292,064

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


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