# Factors of 182

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, and 182

#### How to find factors of a number

 1.   Find factors of 182 using Division Method 2.   Find factors of 182 using Prime Factorization 3.   Find factors of 182 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 182

• Divide 182 by 1: 182 ÷ 1 : Remainder = 0
• Divide 182 by 2: 182 ÷ 2 : Remainder = 0
• Divide 182 by 7: 182 ÷ 7 : Remainder = 0
• Divide 182 by 13: 182 ÷ 13 : Remainder = 0
• Divide 182 by 14: 182 ÷ 14 : Remainder = 0
• Divide 182 by 26: 182 ÷ 26 : Remainder = 0
• Divide 182 by 91: 182 ÷ 91 : Remainder = 0
• Divide 182 by 182: 182 ÷ 182 : Remainder = 0

Hence, Factors of 182 are 1, 2, 7, 13, 14, 26, 91, and 182

#### 2. Steps to find factors of 182 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 182 using the division method, follow these steps:

• Step 1. Start dividing 182 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 182, which is 2. Divide 182 by 2 to obtain the quotient (91).
182 ÷ 2 = 91
• Step 3. Repeat step 1 with the obtained quotient (91).
91 ÷ 7 = 13
13 ÷ 13 = 1

So, the prime factorization of 182 is, 182 = 2 x 7 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 182 as shown below:

So, the prime factorization of 182 is, 182 = 2 x 7 x 13.

#### 3. Find factors of 182 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 182 would be the two numbers which, when multiplied, give 182 as the result.

The following table represents the calculation of factors of 182 in pairs:

Factor Pair Pair Factorization
1 and 182 1 x 182 = 182
2 and 91 2 x 91 = 182
7 and 26 7 x 26 = 182
13 and 14 13 x 14 = 182

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 182. They are called negative pair factors.

Hence, the negative pairs of 182 would be ( -1 , -182 ) , ( -2 , -91 ) , ( -7 , -26 ) and ( -13 , -14 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 182 is a factor of itself.
• 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, 7, 13, 14, 26, 91, 182 are exact divisors of 182.
• 1 is a factor of every number. Eg. 1 is a factor of 182.
• Every number is a factor of zero (0), since 182 x 0 = 0.

• What two numbers make 182?

Two numbers that make 182 are 2 and 91.

• What is prime factorization of 182?

Prime factorization of 182 is 2 x 7 x 13.

• Write some multiples of 182?

First five multiples of 182 are 364, 546, 728, 910.

• Which is the smallest prime factor of 182?

The smallest prime factor of 182 is 2.

• Is 182 a perfect square?

No 182 is not a perfect square.

• What is the sum of all factors of 182?

The sum of all factors of 182 is 336.

• What are factors of 182?

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182.

• How do you find factors of a negative number? ( eg. -182 )?

Factors of -182 are -1, -2, -7, -13, -14, -26, -91, -182.

• Is 182 a whole number?

Yes 182 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 182. Help him in finding the mean of 182.

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 182 is 1 + 2 + 7 + 13 + 14 + 26 + 91 + 182 = 336.
Hence, the mean of factors of 182 is 336 ÷ 8 = 42.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 182? Help her in writing all the factors.

Positive factors are 1, 2, 7, 13, 14, 26, 91, 182.
Negative factors are -1, -2, -7, -13, -14, -26, -91, -182.

Joey wants to write all the prime factors of 182 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 182 are 2, 7, 13.
So in exponential form it can be written as 2 x 7 x 13.

Kevin has been asked to write 7 factor(s) of 182. Can you predict the answer?

7 factor(s) of 182 are 1, 2, 7, 13, 14, 26, 91.

Sammy is puzzled while calculating the prime factors of 182. Can you help him find them?

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182.
Prime factors of 182 are 2, 7, 13

What is prime factorization of 182?

Prime factorization of 182 is 2 x 7 x 13 = 2 x 7 x 13.

Can you help Rubel to find out the product of the even factors of 182?

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182.
Even factors of 182 are 2, 14, 26, 182.
Hence, product of even factors of 182 is; 2 x 14 x 26 x 182 = 132496.