Q: What are the prime factors of the number 333,395,000?

 A: 2, 5, 131, 509

Why are those the prime factors of the number 333,395,000?

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 333,395,000

333,395,000
Factor Arrows
2166,697,500
Factor Arrows
283,348,750
Factor Arrows
241,674,375
Factor Arrows
58,334,875
Factor Arrows
51,666,975
Factor Arrows
5333,395
Factor Arrows
566,679
Factor Arrows
131509

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, 131, 509

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 5 x 131 x 509 = 333,395,000

This can also be written as 23 x 54 x 1311 x 5091 = 333,395,000

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


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