Q: What are the prime factors of the number 6,450,565?

 A: 5, 11, 17, 6899

Why are those the prime factors of the number 6,450,565?

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 6,450,565

6,450,565
Factor Arrows
51,290,113
Factor Arrows
11117,283
Factor Arrows
176,899

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:

5, 11, 17, 6899

We can check our work by multiplying all of the prime factors together: 5 x 11 x 17 x 6,899 = 6,450,565

This can also be written as 51 x 111 x 171 x 6,8991 = 6,450,565

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


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