Q: What are the prime factors of the number 57,919,968?

 A: 2, 3, 43, 1559

Why are those the prime factors of the number 57,919,968?

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 57,919,968

57,919,968
Factor Arrows
228,959,984
Factor Arrows
214,479,992
Factor Arrows
27,239,996
Factor Arrows
23,619,998
Factor Arrows
21,809,999
Factor Arrows
3603,333
Factor Arrows
3201,111
Factor Arrows
367,037
Factor Arrows
431,559

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, 43, 1559

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 43 x 1,559 = 57,919,968

This can also be written as 25 x 33 x 431 x 1,5591 = 57,919,968

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


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