Q: What are the prime factors of the number 21,755,712?

 A: 2, 3, 11, 10301

Why are those the prime factors of the number 21,755,712?

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 21,755,712

21,755,712
Factor Arrows
210,877,856
Factor Arrows
25,438,928
Factor Arrows
22,719,464
Factor Arrows
21,359,732
Factor Arrows
2679,866
Factor Arrows
2339,933
Factor Arrows
3113,311
Factor Arrows
1110,301

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, 11, 10301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 10,301 = 21,755,712

This can also be written as 26 x 31 x 111 x 10,3011 = 21,755,712

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


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