Q: What are the prime factors of the number 64,449,180?

 A: 2, 3, 5, 358051

Why are those the prime factors of the number 64,449,180?

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 64,449,180

64,449,180
Factor Arrows
232,224,590
Factor Arrows
216,112,295
Factor Arrows
35,370,765
Factor Arrows
31,790,255
Factor Arrows
5358,051

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, 5, 358051

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 358,051 = 64,449,180

This can also be written as 22 x 32 x 51 x 358,0511 = 64,449,180

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


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