Q: What are the prime factors of the number 232,840,576?

 A: 2, 1819067

Why are those the prime factors of the number 232,840,576?

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 232,840,576

232,840,576
Factor Arrows
2116,420,288
Factor Arrows
258,210,144
Factor Arrows
229,105,072
Factor Arrows
214,552,536
Factor Arrows
27,276,268
Factor Arrows
23,638,134
Factor Arrows
21,819,067

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, 1819067

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1,819,067 = 232,840,576

This can also be written as 27 x 1,819,0671 = 232,840,576

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


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