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# How are factors and exponents related?

Updated: 8/29/2023

Swmiller

Lvl 1
8y ago

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.

Wiki User

10y ago

Wiki User

12y ago

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

Wiki User

12y ago

The exponent tells how many times the factor is used.

Wiki User

12y ago

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

Wiki User

8y ago

The exponent tells how many times the base is used as a factor.

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### What are the factors of 1085 using exponents?

The factors are: 5 x 7 x 31 No exponents required.

### What are the prime exponents of 34?

The prime factors of 34 are 2 and 17. No exponents are needed.

22 x 3 = 12

### What prime numbers go into 144 with exponents?

As a product of its prime factors in exponents: 2^4 times 3^2 = 144

### What are the factors of 1900 using exponents when repeated factors appear?

22 x 52 x 19 = 1900
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