Q: What are the prime factors of the number 276,404?

 A: 2, 43, 1607

Why are those the prime factors of the number 276,404?

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 276,404

276,404
Factor Arrows
2138,202
Factor Arrows
269,101
Factor Arrows
431,607

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, 43, 1607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 43 x 1,607 = 276,404

This can also be written as 22 x 431 x 1,6071 = 276,404

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


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