Q: What are the prime factors of the number 32,240,048?

 A: 2, 179, 11257

Why are those the prime factors of the number 32,240,048?

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 32,240,048

32,240,048
Factor Arrows
216,120,024
Factor Arrows
28,060,012
Factor Arrows
24,030,006
Factor Arrows
22,015,003
Factor Arrows
17911,257

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, 179, 11257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 179 x 11,257 = 32,240,048

This can also be written as 24 x 1791 x 11,2571 = 32,240,048

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


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