Q: What are the prime factors of the number 224,100,045?

 A: 3, 5, 13, 383077

Why are those the prime factors of the number 224,100,045?

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 224,100,045

224,100,045
Factor Arrows
374,700,015
Factor Arrows
324,900,005
Factor Arrows
54,980,001
Factor Arrows
13383,077

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, 13, 383077

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 13 x 383,077 = 224,100,045

This can also be written as 32 x 51 x 131 x 383,0771 = 224,100,045

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


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