An exponent is a number that indicates how many copies of the base are to be multiplied together. An exponent is a number like any other and its factors - if any - are foud in the same way as the factor of any other number.
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Factors are numbers that multiply to create a product. Exponents are a shorthand way to write multiple factors.
3 x 3 x 3 = 27
33 = 27
When a factorization has repeated numbers, it is sometimes preferable to write them as exponents.
2 x 2 x 2 x 3 x 3 x 3 = 216
23 x 33 = 216
The factors are: 5 x 7 x 31 No exponents required.
The prime factors of 34 are 2 and 17. No exponents are needed.
22 x 3 = 12
As a product of its prime factors in exponents: 2^4 times 3^2 = 144
22 x 52 x 19 = 1900