Q: What are the prime factors of the number 4,141,550?

 A: 2, 5, 7, 11833

Why are those the prime factors of the number 4,141,550?

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 4,141,550

4,141,550
Factor Arrows
22,070,775
Factor Arrows
5414,155
Factor Arrows
582,831
Factor Arrows
711,833

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, 5, 7, 11833

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 11,833 = 4,141,550

This can also be written as 21 x 52 x 71 x 11,8331 = 4,141,550

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


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