Q: What are the prime factors of the number 69,518,472?

 A: 2, 3, 683, 4241

Why are those the prime factors of the number 69,518,472?

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 69,518,472

69,518,472
Factor Arrows
234,759,236
Factor Arrows
217,379,618
Factor Arrows
28,689,809
Factor Arrows
32,896,603
Factor Arrows
6834,241

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, 683, 4241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 683 x 4,241 = 69,518,472

This can also be written as 23 x 31 x 6831 x 4,2411 = 69,518,472

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


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