Q: What are the prime factors of the number 40,666,096?

 A: 2, 41, 61991

Why are those the prime factors of the number 40,666,096?

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 40,666,096

40,666,096
Factor Arrows
220,333,048
Factor Arrows
210,166,524
Factor Arrows
25,083,262
Factor Arrows
22,541,631
Factor Arrows
4161,991

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, 41, 61991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 41 x 61,991 = 40,666,096

This can also be written as 24 x 411 x 61,9911 = 40,666,096

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


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