Q: What are the prime factors of the number 322,262,000?

 A: 2, 5, 269, 599

Why are those the prime factors of the number 322,262,000?

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 322,262,000

322,262,000
Factor Arrows
2161,131,000
Factor Arrows
280,565,500
Factor Arrows
240,282,750
Factor Arrows
220,141,375
Factor Arrows
54,028,275
Factor Arrows
5805,655
Factor Arrows
5161,131
Factor Arrows
269599

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, 269, 599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 5 x 269 x 599 = 322,262,000

This can also be written as 24 x 53 x 2691 x 5991 = 322,262,000

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


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