Q: What are the prime factors of the number 1,224,564?

 A: 2, 3, 11, 9277

Why are those the prime factors of the number 1,224,564?

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 1,224,564

1,224,564
Factor Arrows
2612,282
Factor Arrows
2306,141
Factor Arrows
3102,047
Factor Arrows
119,277

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, 11, 9277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 9,277 = 1,224,564

This can also be written as 22 x 31 x 111 x 9,2771 = 1,224,564

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


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