Q: What are the prime factors of the number 40,024,305?

 A: 3, 5, 889429

Why are those the prime factors of the number 40,024,305?

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 40,024,305

40,024,305
Factor Arrows
313,341,435
Factor Arrows
34,447,145
Factor Arrows
5889,429

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:

3, 5, 889429

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 889,429 = 40,024,305

This can also be written as 32 x 51 x 889,4291 = 40,024,305

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


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