Q: What are the prime factors of the number 934,952?

 A: 2, 19, 6151

Why are those the prime factors of the number 934,952?

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 934,952

934,952
Factor Arrows
2467,476
Factor Arrows
2233,738
Factor Arrows
2116,869
Factor Arrows
196,151

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, 19, 6151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 6,151 = 934,952

This can also be written as 23 x 191 x 6,1511 = 934,952

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


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