Q: What are the prime factors of the number 44,880,888?

 A: 2, 3, 13, 19, 67, 113

Why are those the prime factors of the number 44,880,888?

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 44,880,888

44,880,888
Factor Arrows
222,440,444
Factor Arrows
211,220,222
Factor Arrows
25,610,111
Factor Arrows
31,870,037
Factor Arrows
13143,849
Factor Arrows
197,571
Factor Arrows
67113

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, 13, 19, 67, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 19 x 67 x 113 = 44,880,888

This can also be written as 23 x 31 x 131 x 191 x 671 x 1131 = 44,880,888

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


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