Q: What are the prime factors of the number 6,362,200?

 A: 2, 5, 13, 2447

Why are those the prime factors of the number 6,362,200?

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 6,362,200

6,362,200
Factor Arrows
23,181,100
Factor Arrows
21,590,550
Factor Arrows
2795,275
Factor Arrows
5159,055
Factor Arrows
531,811
Factor Arrows
132,447

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, 13, 2447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 13 x 2,447 = 6,362,200

This can also be written as 23 x 52 x 131 x 2,4471 = 6,362,200

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


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