Q: What are the prime factors of the number 5,062,848?

 A: 2, 3, 7, 3767

Why are those the prime factors of the number 5,062,848?

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 5,062,848

5,062,848
Factor Arrows
22,531,424
Factor Arrows
21,265,712
Factor Arrows
2632,856
Factor Arrows
2316,428
Factor Arrows
2158,214
Factor Arrows
279,107
Factor Arrows
326,369
Factor Arrows
73,767

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, 7, 3767

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 7 x 3,767 = 5,062,848

This can also be written as 26 x 31 x 71 x 3,7671 = 5,062,848

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


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