Q: What are the prime factors of the number 1,368,450?

 A: 2, 3, 5, 3041

Why are those the prime factors of the number 1,368,450?

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 1,368,450

1,368,450
Factor Arrows
2684,225
Factor Arrows
3228,075
Factor Arrows
376,025
Factor Arrows
515,205
Factor Arrows
53,041

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, 3041

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 3,041 = 1,368,450

This can also be written as 21 x 32 x 52 x 3,0411 = 1,368,450

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


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