Q: What are the prime factors of the number 61,764,255?

 A: 3, 5, 7, 9337

Why are those the prime factors of the number 61,764,255?

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 61,764,255

61,764,255
Factor Arrows
320,588,085
Factor Arrows
36,862,695
Factor Arrows
32,287,565
Factor Arrows
5457,513
Factor Arrows
765,359
Factor Arrows
79,337

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:

3, 5, 7, 9337

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 7 x 7 x 9,337 = 61,764,255

This can also be written as 33 x 51 x 72 x 9,3371 = 61,764,255

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


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