# Factors of 276

Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276

#### How to find factors of a number

 1.   Find factors of 276 using Division Method 2.   Find factors of 276 using Prime Factorization 3.   Find factors of 276 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 276

• Divide 276 by 1: 276 ÷ 1 : Remainder = 0
• Divide 276 by 2: 276 ÷ 2 : Remainder = 0
• Divide 276 by 3: 276 ÷ 3 : Remainder = 0
• Divide 276 by 4: 276 ÷ 4 : Remainder = 0
• Divide 276 by 6: 276 ÷ 6 : Remainder = 0
• Divide 276 by 12: 276 ÷ 12 : Remainder = 0
• Divide 276 by 23: 276 ÷ 23 : Remainder = 0
• Divide 276 by 46: 276 ÷ 46 : Remainder = 0
• Divide 276 by 69: 276 ÷ 69 : Remainder = 0
• Divide 276 by 92: 276 ÷ 92 : Remainder = 0
• Divide 276 by 138: 276 ÷ 138 : Remainder = 0
• Divide 276 by 276: 276 ÷ 276 : Remainder = 0

Hence, Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276

#### 2. Steps to find factors of 276 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 276 using the division method, follow these steps:

• Step 1. Start dividing 276 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 276, which is 2. Divide 276 by 2 to obtain the quotient (138).
276 ÷ 2 = 138
• Step 3. Repeat step 1 with the obtained quotient (138).
138 ÷ 2 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1

So, the prime factorization of 276 is, 276 = 2 x 2 x 3 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 276 as shown below:

So, the prime factorization of 276 is, 276 = 2 x 2 x 3 x 23.

#### 3. Find factors of 276 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 276 would be the two numbers which, when multiplied, give 276 as the result.

The following table represents the calculation of factors of 276 in pairs:

Factor Pair Pair Factorization
1 and 276 1 x 276 = 276
2 and 138 2 x 138 = 276
3 and 92 3 x 92 = 276
4 and 69 4 x 69 = 276
6 and 46 6 x 46 = 276
12 and 23 12 x 23 = 276

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 276. They are called negative pair factors.

Hence, the negative pairs of 276 would be ( -1 , -276 ) , ( -2 , -138 ) , ( -3 , -92 ) , ( -4 , -69 ) , ( -6 , -46 ) and ( -12 , -23 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 276 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 276.
• Every number is a factor of zero (0), since 276 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, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276 are exact divisors of 276.
• Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. Each factor divides 276 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276 are all less than or equal to 276.

• How do you find factors of a negative number? ( eg. -276 )?

Factors of -276 are -1, -2, -3, -4, -6, -12, -23, -46, -69, -92, -138, -276.

• What is the sum of all factors of 276?

The sum of all factors of 276 is 672.

• What is prime factorization of 276?

Prime factorization of 276 is 2 x 2 x 3 x 23.

• What are the pair factors of 276?

Pair factors of 276 are (1,276), (2,138), (3,92), (4,69), (6,46), (12,23).

• What are six multiples of 276?

First five multiples of 276 are 552, 828, 1104, 1380, 1656, 1932.

• Is 276 a whole number?

Yes 276 is a whole number.

• Which is the smallest prime factor of 276?

Smallest prime factor of 276 is 2.

• What are five multiples of 276?

First five multiples of 276 are 552, 828, 1104, 1380, 1656.

• Write all factors of 276?

Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.

#### Examples of Factors

Joey wants to write all the prime factors of 276 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 276 are 2, 2, 3, 23.
So in exponential form it can be written as 22 x 3 x 23.

How many factors are there for 276?

Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 276. Can you predict the answer?

11 factor(s) of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138.

Sammy is puzzled while calculating the prime factors of 276. Can you help him find them?

Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.
Prime factors of 276 are 2, 2, 3, 23

What is prime factorization of 276?

Prime factorization of 276 is 2 x 2 x 3 x 23 = 22 x 3 x 23.

Ariel has been assigned the task to find the product of all the prime factors of 276. Can you help her?

Prime factors of 276 are 2, 2, 3, 23.
Hence, the product of prime factors of 138.

Can you help Rubel to find out the product of the even factors of 276?

Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.
Even factors of 276 are 2, 4, 6, 12, 46, 92, 138, 276.
Hence, product of even factors of 276 is; 2 x 4 x 6 x 12 x 46 x 92 x 138 x 276 = 92844527616.