Q: What are the prime factors of the number 21,037,760?

 A: 2, 5, 29, 2267

Why are those the prime factors of the number 21,037,760?

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 21,037,760

21,037,760
Factor Arrows
210,518,880
Factor Arrows
25,259,440
Factor Arrows
22,629,720
Factor Arrows
21,314,860
Factor Arrows
2657,430
Factor Arrows
2328,715
Factor Arrows
565,743
Factor Arrows
292,267

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, 5, 29, 2267

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 5 x 29 x 2,267 = 21,037,760

This can also be written as 26 x 51 x 291 x 2,2671 = 21,037,760

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


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