Q: What are the prime factors of the number 67,833,688?

 A: 2, 13, 557, 1171

Why are those the prime factors of the number 67,833,688?

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 67,833,688

67,833,688
Factor Arrows
233,916,844
Factor Arrows
216,958,422
Factor Arrows
28,479,211
Factor Arrows
13652,247
Factor Arrows
5571,171

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, 13, 557, 1171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 557 x 1,171 = 67,833,688

This can also be written as 23 x 131 x 5571 x 1,1711 = 67,833,688

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


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