Q: What are the prime factors of the number 44,218,548?

 A: 2, 3, 11, 19, 653

Why are those the prime factors of the number 44,218,548?

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 44,218,548

44,218,548
Factor Arrows
222,109,274
Factor Arrows
211,054,637
Factor Arrows
33,684,879
Factor Arrows
31,228,293
Factor Arrows
3409,431
Factor Arrows
3136,477
Factor Arrows
1112,407
Factor Arrows
19653

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, 11, 19, 653

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 11 x 19 x 653 = 44,218,548

This can also be written as 22 x 34 x 111 x 191 x 6531 = 44,218,548

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


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