Q: What are the prime factors of the number 64,844,100?

 A: 2, 3, 5, 109, 661

Why are those the prime factors of the number 64,844,100?

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 64,844,100

64,844,100
Factor Arrows
232,422,050
Factor Arrows
216,211,025
Factor Arrows
35,403,675
Factor Arrows
31,801,225
Factor Arrows
5360,245
Factor Arrows
572,049
Factor Arrows
109661

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, 109, 661

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 109 x 661 = 64,844,100

This can also be written as 22 x 32 x 52 x 1091 x 6611 = 64,844,100

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


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