Q: What are the prime factors of the number 11,018,750?

 A: 2, 5, 41, 43

Why are those the prime factors of the number 11,018,750?

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 11,018,750

11,018,750
Factor Arrows
25,509,375
Factor Arrows
51,101,875
Factor Arrows
5220,375
Factor Arrows
544,075
Factor Arrows
58,815
Factor Arrows
51,763
Factor Arrows
4143

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, 41, 43

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 5 x 5 x 41 x 43 = 11,018,750

This can also be written as 21 x 55 x 411 x 431 = 11,018,750

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


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