Q: What are the prime factors of the number 2,441,186?

 A: 2, 11, 37, 2999

Why are those the prime factors of the number 2,441,186?

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 2,441,186

2,441,186
Factor Arrows
21,220,593
Factor Arrows
11110,963
Factor Arrows
372,999

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, 11, 37, 2999

We can check our work by multiplying all of the prime factors together: 2 x 11 x 37 x 2,999 = 2,441,186

This can also be written as 21 x 111 x 371 x 2,9991 = 2,441,186

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


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