Q: What are the prime factors of the number 224,404,425?

 A: 3, 5, 7, 1759

Why are those the prime factors of the number 224,404,425?

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 224,404,425

224,404,425
Factor Arrows
374,801,475
Factor Arrows
324,933,825
Factor Arrows
38,311,275
Factor Arrows
32,770,425
Factor Arrows
3923,475
Factor Arrows
3307,825
Factor Arrows
561,565
Factor Arrows
512,313
Factor Arrows
71,759

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:

3, 5, 7, 1759

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 1,759 = 224,404,425

This can also be written as 36 x 52 x 71 x 1,7591 = 224,404,425

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


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