Q: What are the prime factors of the number 246,033,234?

 A: 2, 3, 353, 12907

Why are those the prime factors of the number 246,033,234?

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 246,033,234

246,033,234
Factor Arrows
2123,016,617
Factor Arrows
341,005,539
Factor Arrows
313,668,513
Factor Arrows
34,556,171
Factor Arrows
35312,907

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, 3, 353, 12907

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 353 x 12,907 = 246,033,234

This can also be written as 21 x 33 x 3531 x 12,9071 = 246,033,234

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


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