Q: What are the prime factors of the number 224,820?

 A: 2, 3, 5, 1249

Why are those the prime factors of the number 224,820?

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 224,820

224,820
Factor Arrows
2112,410
Factor Arrows
256,205
Factor Arrows
318,735
Factor Arrows
36,245
Factor Arrows
51,249

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, 1249

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 1,249 = 224,820

This can also be written as 22 x 32 x 51 x 1,2491 = 224,820

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


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