Q: What are the prime factors of the number 246,064,032?

 A: 2, 3, 197, 4337

Why are those the prime factors of the number 246,064,032?

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 246,064,032

246,064,032
Factor Arrows
2123,032,016
Factor Arrows
261,516,008
Factor Arrows
230,758,004
Factor Arrows
215,379,002
Factor Arrows
27,689,501
Factor Arrows
32,563,167
Factor Arrows
3854,389
Factor Arrows
1974,337

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, 197, 4337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 197 x 4,337 = 246,064,032

This can also be written as 25 x 32 x 1971 x 4,3371 = 246,064,032

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


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