Q: What are the prime factors of the number 20,848,455?

 A: 3, 5, 389, 397

Why are those the prime factors of the number 20,848,455?

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 20,848,455

20,848,455
Factor Arrows
36,949,485
Factor Arrows
32,316,495
Factor Arrows
3772,165
Factor Arrows
5154,433
Factor Arrows
389397

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, 389, 397

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 389 x 397 = 20,848,455

This can also be written as 33 x 51 x 3891 x 3971 = 20,848,455

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


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