Q: What are the prime factors of the number 2,486,848?

 A: 2, 7, 13, 61

Why are those the prime factors of the number 2,486,848?

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 2,486,848

2,486,848
Factor Arrows
21,243,424
Factor Arrows
2621,712
Factor Arrows
2310,856
Factor Arrows
2155,428
Factor Arrows
277,714
Factor Arrows
238,857
Factor Arrows
75,551
Factor Arrows
7793
Factor Arrows
1361

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, 7, 13, 61

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 7 x 7 x 13 x 61 = 2,486,848

This can also be written as 26 x 72 x 131 x 611 = 2,486,848

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


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