# Factors of 244

Factors of 244 are 1, 2, 4, 61, 122, and 244

#### How to find factors of a number

 1.   Find factors of 244 using Division Method 2.   Find factors of 244 using Prime Factorization 3.   Find factors of 244 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 244

• Divide 244 by 1: 244 ÷ 1 : Remainder = 0
• Divide 244 by 2: 244 ÷ 2 : Remainder = 0
• Divide 244 by 4: 244 ÷ 4 : Remainder = 0
• Divide 244 by 61: 244 ÷ 61 : Remainder = 0
• Divide 244 by 122: 244 ÷ 122 : Remainder = 0
• Divide 244 by 244: 244 ÷ 244 : Remainder = 0

Hence, Factors of 244 are 1, 2, 4, 61, 122, and 244

#### 2. Steps to find factors of 244 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 244 using the division method, follow these steps:

• Step 1. Start dividing 244 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 244, which is 2. Divide 244 by 2 to obtain the quotient (122).
244 ÷ 2 = 122
• Step 3. Repeat step 1 with the obtained quotient (122).
122 ÷ 2 = 61
61 ÷ 61 = 1

So, the prime factorization of 244 is, 244 = 2 x 2 x 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 244 as shown below:

So, the prime factorization of 244 is, 244 = 2 x 2 x 61.

#### 3. Find factors of 244 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 244 would be the two numbers which, when multiplied, give 244 as the result.

The following table represents the calculation of factors of 244 in pairs:

Factor Pair Pair Factorization
1 and 244 1 x 244 = 244
2 and 122 2 x 122 = 244
4 and 61 4 x 61 = 244

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 244. They are called negative pair factors.

Hence, the negative pairs of 244 would be ( -1 , -244 ) , ( -2 , -122 ) and ( -4 , -61 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 244 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 244.
• Every number is a factor of zero (0), since 244 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, 2, 4, 61, 122, 244 are exact divisors of 244.
• Factors of 244 are 1, 2, 4, 61, 122, 244. Each factor divides 244 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 61, 122, 244 are all less than or equal to 244.

• What are the prime factors of 244?

The factors of 244 are 1, 2, 4, 61, 122, 244.
Prime factors of 244 are 2, 2, 61.

• What is the sum of all factors of 244?

The sum of all factors of 244 is 434.

• What are the pair factors of 244?

Pair factors of 244 are (1,244), (2,122), (4,61).

• What two numbers make 244?

Two numbers that make 244 are 2 and 122.

• What are multiples of 244?

First five multiples of 244 are 488, 732, 976, 1220.

• Is 244 a perfect square?

No 244 is not a perfect square.

• Which is greatest factor of 244?

The greatest factor of 244 is 122.

• How do you factors of 244?

Factors of 244 are 1, 2, 4, 61, 122, 244.

• What are five multiples of 244?

First five multiples of 244 are 488, 732, 976, 1220, 1464.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 244?

Factors of 244 are 1, 2, 4, 61, 122, 244.
Even factors of 244 are 2, 4, 122, 244.
Hence, product of even factors of 244 is; 2 x 4 x 122 x 244 = 238144.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 244? Help her in writing all the factors.

Positive factors are 1, 2, 4, 61, 122, 244.
Negative factors are -1, -2, -4, -61, -122, -244.

How many factors are there for 244?

Factors of 244 are 1, 2, 4, 61, 122, 244.
So there are in total 6 factors.

Sammy is puzzled while calculating the prime factors of 244. Can you help him find them?

Factors of 244 are 1, 2, 4, 61, 122, 244.
Prime factors of 244 are 2, 2, 61

Joey wants to write all the prime factors of 244 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 244 are 2, 2, 61.
So in exponential form it can be written as 22 x 61.

What is prime factorization of 244?

Prime factorization of 244 is 2 x 2 x 61 = 22 x 61.

Can you help Rubel to find out the product of the even factors of 244?

Factors of 244 are 1, 2, 4, 61, 122, 244.
Even factors of 244 are 2, 4, 122, 244.
Hence, product of even factors of 244 is; 2 x 4 x 122 x 244 = 238144.