Q: What are the prime factors of the number 440,916?

 A: 2, 3, 7, 29, 181

Why are those the prime factors of the number 440,916?

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 440,916

440,916
Factor Arrows
2220,458
Factor Arrows
2110,229
Factor Arrows
336,743
Factor Arrows
75,249
Factor Arrows
29181

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, 7, 29, 181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 29 x 181 = 440,916

This can also be written as 22 x 31 x 71 x 291 x 1811 = 440,916

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


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