Q: What are the prime factors of the number 12,242,400?

 A: 2, 3, 5, 5101

Why are those the prime factors of the number 12,242,400?

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 12,242,400

12,242,400
Factor Arrows
26,121,200
Factor Arrows
23,060,600
Factor Arrows
21,530,300
Factor Arrows
2765,150
Factor Arrows
2382,575
Factor Arrows
3127,525
Factor Arrows
525,505
Factor Arrows
55,101

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, 5101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5,101 = 12,242,400

This can also be written as 25 x 31 x 52 x 5,1011 = 12,242,400

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


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