Q: What are the prime factors of the number 402,476?

 A: 2, 239, 421

Why are those the prime factors of the number 402,476?

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 402,476

402,476
Factor Arrows
2201,238
Factor Arrows
2100,619
Factor Arrows
239421

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, 239, 421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 239 x 421 = 402,476

This can also be written as 22 x 2391 x 4211 = 402,476

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


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