# Factors of 103

Factors of 103 are 1 and 103

#### How to find factors of a number

 1.   Find factors of 103 using Division Method 2.   Find factors of 103 using Prime Factorization 3.   Find factors of 103 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 103

• Divide 103 by 1: 103 ÷ 1 : Remainder = 0
• Divide 103 by 103: 103 ÷ 103 : Remainder = 0

Hence, Factors of 103 are 1 and 103

#### 2. Steps to find factors of 103 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 103 using the division method, follow these steps:

• Step 1. Start dividing 103 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 103, which is 103. Divide 103 by 103 to obtain the quotient (1).
103 ÷ 103 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 103 is, 103 = 103.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 103 as shown below:

So, the prime factorization of 103 is, 103 = 103.

#### 3. Find factors of 103 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 103 would be the two numbers which, when multiplied, give 103 as the result.

The following table represents the calculation of factors of 103 in pairs:

Factor Pair Pair Factorization
1 and 103 1 x 103 = 103

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 103. They are called negative pair factors.

Hence, the negative pairs of 103 would be ( -1 , -103 ) , .

#### 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 103 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, 103 are exact divisors of 103.
• Factors of 103 are 1, 103. Each factor divides 103 without leaving a remainder.

• Is 103 a perfect square?

No 103 is not a perfect square.

• What are factors of 103?

Factors of 103 are 1, 103.

• Which is greatest factor of 103?

The greatest factor of 103 is 1.

• What is the sum of all factors of 103?

The sum of all factors of 103 is 104.

• What are multiples of 103?

First five multiples of 103 are 206, 309, 412, 515.

• What is the greatest prime factors of 103?

The greatest prime factor of 103 is 103.

• What are six multiples of 103?

First five multiples of 103 are 206, 309, 412, 515, 618, 721.

• What is prime factorization of 103?

Prime factorization of 103 is 103.

• Is 103 a whole number?

Yes 103 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 103? Help her in writing all the factors.

Positive factors are 1, 103.
Negative factors are -1, -103.

Can you help Sammy find out the product of the odd factors of 103?

Factors of 103 are 1, 103.
Odd factors of 103 are 1, 103.
Hence product of odd factors of 103 is; 1 x 103 = 103.

Joey wants to write all the prime factors of 103 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 103 are 103.
So in exponential form it can be written as 103.

How many factors are there for 103?

Factors of 103 are 1, 103.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 103. Can you predict the answer?

1 factor(s) of 103 is 1.

Sammy is puzzled while calculating the prime factors of 103. Can you help him find them?

Factors of 103 are 1, 103.
Prime factors of 103 are 103

What is prime factorization of 103?

Prime factorization of 103 is 103 = 103.