# Factors of 2744

Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, and 2744

#### How to find factors of a number

 1.   Find factors of 2744 using Division Method 2.   Find factors of 2744 using Prime Factorization 3.   Find factors of 2744 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2744

• Divide 2744 by 1: 2744 ÷ 1 : Remainder = 0
• Divide 2744 by 2: 2744 ÷ 2 : Remainder = 0
• Divide 2744 by 4: 2744 ÷ 4 : Remainder = 0
• Divide 2744 by 7: 2744 ÷ 7 : Remainder = 0
• Divide 2744 by 8: 2744 ÷ 8 : Remainder = 0
• Divide 2744 by 14: 2744 ÷ 14 : Remainder = 0
• Divide 2744 by 28: 2744 ÷ 28 : Remainder = 0
• Divide 2744 by 49: 2744 ÷ 49 : Remainder = 0
• Divide 2744 by 56: 2744 ÷ 56 : Remainder = 0
• Divide 2744 by 98: 2744 ÷ 98 : Remainder = 0
• Divide 2744 by 196: 2744 ÷ 196 : Remainder = 0
• Divide 2744 by 343: 2744 ÷ 343 : Remainder = 0
• Divide 2744 by 392: 2744 ÷ 392 : Remainder = 0
• Divide 2744 by 686: 2744 ÷ 686 : Remainder = 0
• Divide 2744 by 1372: 2744 ÷ 1372 : Remainder = 0
• Divide 2744 by 2744: 2744 ÷ 2744 : Remainder = 0

Hence, Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, and 2744

#### 2. Steps to find factors of 2744 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 2744 using the division method, follow these steps:

• Step 1. Start dividing 2744 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 2744, which is 2. Divide 2744 by 2 to obtain the quotient (1372).
2744 ÷ 2 = 1372
• Step 3. Repeat step 1 with the obtained quotient (1372).
1372 ÷ 2 = 686
686 ÷ 2 = 343
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 2744 is, 2744 = 2 x 2 x 2 x 7 x 7 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2744 as shown below:

So, the prime factorization of 2744 is, 2744 = 2 x 2 x 2 x 7 x 7 x 7.

#### 3. Find factors of 2744 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 2744 would be the two numbers which, when multiplied, give 2744 as the result.

The following table represents the calculation of factors of 2744 in pairs:

Factor Pair Pair Factorization
1 and 2744 1 x 2744 = 2744
2 and 1372 2 x 1372 = 2744
4 and 686 4 x 686 = 2744
7 and 392 7 x 392 = 2744
8 and 343 8 x 343 = 2744
14 and 196 14 x 196 = 2744
28 and 98 28 x 98 = 2744
49 and 56 49 x 56 = 2744

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 2744. They are called negative pair factors.

Hence, the negative pairs of 2744 would be ( -1 , -2744 ) , ( -2 , -1372 ) , ( -4 , -686 ) , ( -7 , -392 ) , ( -8 , -343 ) , ( -14 , -196 ) , ( -28 , -98 ) and ( -49 , -56 ) .

#### 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. 2744 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2744.
• Every number is a factor of zero (0), since 2744 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, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744 are exact divisors of 2744.
• Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744. Each factor divides 2744 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744 are all less than or equal to 2744.

• What is prime factorization of 2744?

Prime factorization of 2744 is 2 x 2 x 2 x 7 x 7 x 7.

• How do you find factors of a negative number? ( eg. -2744 )?

Factors of -2744 are -1, -2, -4, -7, -8, -14, -28, -49, -56, -98, -196, -343, -392, -686, -1372, -2744.

• What are the prime factors of 2744?

The factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744.
Prime factors of 2744 are 2, 2, 2, 7, 7, 7.

• What are pair factors of 2744?

The pair factors of 2744 are (1,2744), (2,1372), (4,686), (7,392), (8,343), (14,196), (28,98), (49,56).

• What is the greatest prime factors of 2744?

The greatest prime factor of 2744 is 7.

• What are six multiples of 2744?

First five multiples of 2744 are 5488, 8232, 10976, 13720, 16464, 19208.

• What are factors of 2744?

Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744.

• Which is the smallest prime factor of 2744?

Smallest prime factor of 2744 is 2.

• Is 2744 a whole number?

Yes 2744 is a whole number.

#### Examples of Factors

Kevin has been asked to write 15 factor(s) of 2744. Can you predict the answer?

15 factor(s) of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372.

Sammy is puzzled while calculating the prime factors of 2744. Can you help him find them?

Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744.
Prime factors of 2744 are 2, 2, 2, 7, 7, 7

What is prime factorization of 2744?

Prime factorization of 2744 is 2 x 2 x 2 x 7 x 7 x 7 = 23 x 73.

Ariel has been assigned the task to find the product of all the prime factors of 2744. Can you help her?

Prime factors of 2744 are 2, 2, 2, 7, 7, 7.
Hence, the product of prime factors of 14.

Can you help Rubel to find out the product of the even factors of 2744?

Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744.
Even factors of 2744 are 2, 4, 8, 14, 28, 56, 98, 196, 392, 686, 1372, 2744.
Hence, product of even factors of 2744 is; 2 x 4 x 8 x 14 x 28 x 56 x 98 x 196 x 392 x 686 x 1372 x 2744 = 2.732024666948075e+22.

Joy wants to calculate mean of all the factors of 2744. Help him in finding the mean of 2744.

Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2744 is 1 + 2 + 4 + 7 + 8 + 14 + 28 + 49 + 56 + 98 + 196 + 343 + 392 + 686 + 1372 + 2744 = 6000.
Hence, the mean of factors of 2744 is 6000 ÷ 16 = 375.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2744? Help her in writing all the factors.

Positive factors are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744.
Negative factors are -1, -2, -4, -7, -8, -14, -28, -49, -56, -98, -196, -343, -392, -686, -1372, -2744.