Q: What are the prime factors of the number 295,408?

 A: 2, 37, 499

Why are those the prime factors of the number 295,408?

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 295,408

295,408
Factor Arrows
2147,704
Factor Arrows
273,852
Factor Arrows
236,926
Factor Arrows
218,463
Factor Arrows
37499

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, 37, 499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 37 x 499 = 295,408

This can also be written as 24 x 371 x 4991 = 295,408

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


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