Q: What are the prime factors of the number 67,961,120?

 A: 2, 5, 424757

Why are those the prime factors of the number 67,961,120?

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 67,961,120

67,961,120
Factor Arrows
233,980,560
Factor Arrows
216,990,280
Factor Arrows
28,495,140
Factor Arrows
24,247,570
Factor Arrows
22,123,785
Factor Arrows
5424,757

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, 5, 424757

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 424,757 = 67,961,120

This can also be written as 25 x 51 x 424,7571 = 67,961,120

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


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