Q: What are the prime factors of the number 69,362,760?

 A: 2, 3, 5, 59, 97, 101

Why are those the prime factors of the number 69,362,760?

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 69,362,760

69,362,760
Factor Arrows
234,681,380
Factor Arrows
217,340,690
Factor Arrows
28,670,345
Factor Arrows
32,890,115
Factor Arrows
5578,023
Factor Arrows
599,797
Factor Arrows
97101

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, 5, 59, 97, 101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 59 x 97 x 101 = 69,362,760

This can also be written as 23 x 31 x 51 x 591 x 971 x 1011 = 69,362,760

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


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