Q: What are the prime factors of the number 404,333,760?

 A: 2, 3, 5, 421181

Why are those the prime factors of the number 404,333,760?

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 404,333,760

404,333,760
Factor Arrows
2202,166,880
Factor Arrows
2101,083,440
Factor Arrows
250,541,720
Factor Arrows
225,270,860
Factor Arrows
212,635,430
Factor Arrows
26,317,715
Factor Arrows
32,105,905
Factor Arrows
5421,181

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, 5, 421181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 421,181 = 404,333,760

This can also be written as 26 x 31 x 51 x 421,1811 = 404,333,760

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


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