Q: What are the prime factors of the number 68,045,208?

 A: 2, 3, 7, 11, 36821

Why are those the prime factors of the number 68,045,208?

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 68,045,208

68,045,208
Factor Arrows
234,022,604
Factor Arrows
217,011,302
Factor Arrows
28,505,651
Factor Arrows
32,835,217
Factor Arrows
7405,031
Factor Arrows
1136,821

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, 7, 11, 36821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 11 x 36,821 = 68,045,208

This can also be written as 23 x 31 x 71 x 111 x 36,8211 = 68,045,208

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


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