Q: What are the prime factors of the number 68,710,848?

 A: 2, 3, 89, 4021

Why are those the prime factors of the number 68,710,848?

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 68,710,848

68,710,848
Factor Arrows
234,355,424
Factor Arrows
217,177,712
Factor Arrows
28,588,856
Factor Arrows
24,294,428
Factor Arrows
22,147,214
Factor Arrows
21,073,607
Factor Arrows
3357,869
Factor Arrows
894,021

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, 89, 4021

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 3 x 89 x 4,021 = 68,710,848

This can also be written as 26 x 31 x 891 x 4,0211 = 68,710,848

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


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