# Factors of 83

Factors of 83 are 1 and 83

#### How to find factors of a number

 1.   Find factors of 83 using Division Method 2.   Find factors of 83 using Prime Factorization 3.   Find factors of 83 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 83

• Divide 83 by 1: 83 ÷ 1 : Remainder = 0
• Divide 83 by 83: 83 ÷ 83 : Remainder = 0

Hence, Factors of 83 are 1 and 83

#### 2. Steps to find factors of 83 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 83 using the division method, follow these steps:

• Step 1. Start dividing 83 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 83, which is 83. Divide 83 by 83 to obtain the quotient (1).
83 ÷ 83 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 83 is, 83 = 83.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 83 as shown below:

So, the prime factorization of 83 is, 83 = 83.

#### 3. Find factors of 83 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 83 would be the two numbers which, when multiplied, give 83 as the result.

The following table represents the calculation of factors of 83 in pairs:

Factor Pair Pair Factorization
1 and 83 1 x 83 = 83

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 83. They are called negative pair factors.

Hence, the negative pairs of 83 would be ( -1 , -83 ) , .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 83 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 83 are exact divisors of 83.
• Factors of 83 are 1, 83. Each factor divides 83 without leaving a remainder.

• What two numbers make 83?

Two numbers that make 83 are 83 and 1.

• What is prime factorization of 83?

Prime factorization of 83 is 83.

• Write some multiples of 83?

First five multiples of 83 are 166, 249, 332, 415.

• Which is the smallest prime factor of 83?

The smallest prime factor of 83 is 83.

• Is 83 a perfect square?

No 83 is not a perfect square.

• What is the sum of all factors of 83?

The sum of all factors of 83 is 84.

• What are factors of 83?

Factors of 83 are 1, 83.

• How do you find factors of a negative number? ( eg. -83 )?

Factors of -83 are -1, -83.

• Is 83 a whole number?

Yes 83 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 83. Help him in finding the mean of 83.

Factors of 83 are 1, 83.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 83 is 1 + 83 = 84.
Hence, the mean of factors of 83 is 84 ÷ 2 = 42.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 83? Help her in writing all the factors.

Positive factors are 1, 83.
Negative factors are -1, -83.

Joey wants to write all the prime factors of 83 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 83 are 83.
So in exponential form it can be written as 83.

Kevin has been asked to write 1 factor(s) of 83. Can you predict the answer?

1 factor(s) of 83 is 1.

Sammy is puzzled while calculating the prime factors of 83. Can you help him find them?

Factors of 83 are 1, 83.
Prime factors of 83 are 83

What is prime factorization of 83?

Prime factorization of 83 is 83 = 83.

Can you help Rubel to find out the product of the even factors of 83?

Factors of 83 are 1, 83.
Even factors of 83 are 0.
Hence, product of even factors of 83 is; 0 = 0.