# Factors of 182 in pair

Factors of 182 in pair are (1, 182) , (2, 91) , (7, 26) and (13, 14)

#### How to find factors of a number in pair

 1.   Steps to find factors of 182 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 182 in pair

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 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 182 are 1 , 2 , 7 , 13 , 14 , 26 , 91 , 182. So, factors of 182 in pair are (1,182), (2,91), (7,26), (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.

#### Steps to find Factors of 182

• Step 1. Find all the numbers that would divide 182 without leaving any remainder. Starting with the number 1 upto 91 (half of 182). The number 1 and the number itself are always factors of the given number.
182 ÷ 1 : Remainder = 0
182 ÷ 2 : Remainder = 0
182 ÷ 7 : Remainder = 0
182 ÷ 13 : Remainder = 0
182 ÷ 14 : Remainder = 0
182 ÷ 26 : Remainder = 0
182 ÷ 91 : Remainder = 0
182 ÷ 182 : Remainder = 0

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

• Is 182 a composite number?

Yes 182 is a composite number.

• Is 182 a prime number?

No 182 is not a prime number.

• Is 182 a perfect square?

No 182 is not a perfect square.

• Write five multiples of 182.

Five multiples of 182 are 364, 546, 728, 910, 1092.

• Write all odd factors of 182?

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182.
Odd factors of 182 are 1 , 7 , 13 , 91.

#### Examples of Factors

Can you help Rubel in arranging 182 blocks in order to form a rectangle in all possible ways? For arranging 182 blocks in order to form a rectangle in all possible ways we need to find factors of 182 in pair.

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. So, factors of 182 in pair are (1,182), (2,91), (7,26), (13,14).

Ariel has been asked to write all factor pairs of 182 but she is finding it difficult. Can you help her find out?

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. So, factors of 182 in pair are (1,182), (2,91), (7,26), (13,14).

How many total number of factors of 182 in pair are possible?

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. Hence, the factors of 182 in pair are (1,182), (2,91), (7,26), (13,14). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 182 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 182 are -1, -2, -7, -13, -14, -26, -91, -182. Hence, factors of 182 in pair are (-1,-182), (-2,-91), (-7,-26), (-13,-14).

Help Deep in writing the positive factors of 182 in pair and negative factor of 182 in pair.

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. Positive factors of 182 in pair are (1,182), (2,91), (7,26), (13,14). Negative factors of 182 in pair are (-1,-182), (-2,-91), (-7,-26), (-13,-14).

Find the product of all factors of 182.

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. So the product of all factors of 182 would be 1 x 2 x 7 x 13 x 14 x 26 x 91 x 182 = 1097199376.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 182.
- Writing all prime factors of 182.
- Writing all the possible factors of 182 in pair.
Help him in writing all these.

Positive factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182.
Prime factors of 182 are 2, 7, 13.
Factors of 182 in pair are (1,182), (2,91), (7,26), (13,14).

Can you help Sammy list the factors of 182 and also find the factor pairs?

Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182.
Factors of 182 in pair are (1,182), (2,91), (7,26), (13,14).