Q: What are the prime factors of the number 43,441,200?

 A: 2, 3, 5, 11, 1097

Why are those the prime factors of the number 43,441,200?

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 43,441,200

43,441,200
Factor Arrows
221,720,600
Factor Arrows
210,860,300
Factor Arrows
25,430,150
Factor Arrows
22,715,075
Factor Arrows
3905,025
Factor Arrows
3301,675
Factor Arrows
560,335
Factor Arrows
512,067
Factor Arrows
111,097

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, 11, 1097

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 1,097 = 43,441,200

This can also be written as 24 x 32 x 52 x 111 x 1,0971 = 43,441,200

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


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