Q: What are the prime factors of the number 40,811,056?

 A: 2, 11, 13, 17837

Why are those the prime factors of the number 40,811,056?

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 40,811,056

40,811,056
Factor Arrows
220,405,528
Factor Arrows
210,202,764
Factor Arrows
25,101,382
Factor Arrows
22,550,691
Factor Arrows
11231,881
Factor Arrows
1317,837

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, 11, 13, 17837

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 13 x 17,837 = 40,811,056

This can also be written as 24 x 111 x 131 x 17,8371 = 40,811,056

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


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