Q: What are the prime factors of the number 333,126,100?

 A: 2, 5, 353, 9437

Why are those the prime factors of the number 333,126,100?

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 333,126,100

333,126,100
Factor Arrows
2166,563,050
Factor Arrows
283,281,525
Factor Arrows
516,656,305
Factor Arrows
53,331,261
Factor Arrows
3539,437

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, 5, 353, 9437

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 353 x 9,437 = 333,126,100

This can also be written as 22 x 52 x 3531 x 9,4371 = 333,126,100

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


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