Q: What are the prime factors of the number 44,888,824?

 A: 2, 23, 10607

Why are those the prime factors of the number 44,888,824?

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 44,888,824

44,888,824
Factor Arrows
222,444,412
Factor Arrows
211,222,206
Factor Arrows
25,611,103
Factor Arrows
23243,961
Factor Arrows
2310,607

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, 23, 10607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 23 x 10,607 = 44,888,824

This can also be written as 23 x 232 x 10,6071 = 44,888,824

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


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