Q: What are the prime factors of the number 638,848?

 A: 2, 7, 23, 31

Why are those the prime factors of the number 638,848?

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 638,848

638,848
Factor Arrows
2319,424
Factor Arrows
2159,712
Factor Arrows
279,856
Factor Arrows
239,928
Factor Arrows
219,964
Factor Arrows
29,982
Factor Arrows
24,991
Factor Arrows
7713
Factor Arrows
2331

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, 23, 31

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 2 x 7 x 23 x 31 = 638,848

This can also be written as 27 x 71 x 231 x 311 = 638,848

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


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