Q: What are the prime factors of the number 91,030,048?

 A: 2, 151, 18839

Why are those the prime factors of the number 91,030,048?

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 91,030,048

91,030,048
Factor Arrows
245,515,024
Factor Arrows
222,757,512
Factor Arrows
211,378,756
Factor Arrows
25,689,378
Factor Arrows
22,844,689
Factor Arrows
15118,839

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, 151, 18839

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 151 x 18,839 = 91,030,048

This can also be written as 25 x 1511 x 18,8391 = 91,030,048

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


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