Q: What are the prime factors of the number 40,045,296?

 A: 2, 3, 834277

Why are those the prime factors of the number 40,045,296?

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 40,045,296

40,045,296
Factor Arrows
220,022,648
Factor Arrows
210,011,324
Factor Arrows
25,005,662
Factor Arrows
22,502,831
Factor Arrows
3834,277

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, 834277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 834,277 = 40,045,296

This can also be written as 24 x 31 x 834,2771 = 40,045,296

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


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