Q: What are the prime factors of the number 44,682,704?

 A: 2, 11, 253879

Why are those the prime factors of the number 44,682,704?

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 44,682,704

44,682,704
Factor Arrows
222,341,352
Factor Arrows
211,170,676
Factor Arrows
25,585,338
Factor Arrows
22,792,669
Factor Arrows
11253,879

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, 253879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 253,879 = 44,682,704

This can also be written as 24 x 111 x 253,8791 = 44,682,704

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


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