Q: What are the prime factors of the number 67,333,888?

 A: 2, 263023

Why are those the prime factors of the number 67,333,888?

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 67,333,888

67,333,888
Factor Arrows
233,666,944
Factor Arrows
216,833,472
Factor Arrows
28,416,736
Factor Arrows
24,208,368
Factor Arrows
22,104,184
Factor Arrows
21,052,092
Factor Arrows
2526,046
Factor Arrows
2263,023

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, 263023

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 2 x 263,023 = 67,333,888

This can also be written as 28 x 263,0231 = 67,333,888

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


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