Q: What are the prime factors of the number 61,217,892?

 A: 2, 3, 61, 457

Why are those the prime factors of the number 61,217,892?

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 61,217,892

61,217,892
Factor Arrows
230,608,946
Factor Arrows
215,304,473
Factor Arrows
35,101,491
Factor Arrows
31,700,497
Factor Arrows
6127,877
Factor Arrows
61457

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, 61, 457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 61 x 61 x 457 = 61,217,892

This can also be written as 22 x 32 x 612 x 4571 = 61,217,892

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


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