Q: What are the prime factors of the number 3,618,450?

 A: 2, 3, 5, 11, 17, 43

Why are those the prime factors of the number 3,618,450?

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 3,618,450

3,618,450
Factor Arrows
21,809,225
Factor Arrows
3603,075
Factor Arrows
3201,025
Factor Arrows
540,205
Factor Arrows
58,041
Factor Arrows
11731
Factor Arrows
1743

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, 17, 43

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 11 x 17 x 43 = 3,618,450

This can also be written as 21 x 32 x 52 x 111 x 171 x 431 = 3,618,450

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


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