Q: What are the prime factors of the number 3,606,050?

 A: 2, 5, 7, 10303

Why are those the prime factors of the number 3,606,050?

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 3,606,050

3,606,050
Factor Arrows
21,803,025
Factor Arrows
5360,605
Factor Arrows
572,121
Factor Arrows
710,303

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, 10303

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 10,303 = 3,606,050

This can also be written as 21 x 52 x 71 x 10,3031 = 3,606,050

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


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