Q: What are the prime factors of the number 294,174?

 A: 2, 3, 59, 277

Why are those the prime factors of the number 294,174?

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 294,174

294,174
Factor Arrows
2147,087
Factor Arrows
349,029
Factor Arrows
316,343
Factor Arrows
59277

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, 59, 277

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 59 x 277 = 294,174

This can also be written as 21 x 32 x 591 x 2771 = 294,174

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


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