# Factors of 172 in pair

Factors of 172 in pair are (1, 172) , (2, 86) and (4, 43)

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

 1.   Steps to find factors of 172 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 172 in pair

Factor Pair Pair Factorization
1 and 172 1 x 172 = 172
2 and 86 2 x 86 = 172
4 and 43 4 x 43 = 172

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 172. They are called negative pair factors.

Hence, the negative pairs of 172 would be ( -1 , -172 ) .

#### 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 172 are 1 , 2 , 4 , 43 , 86 , 172. So, factors of 172 in pair are (1,172), (2,86), (4,43).

#### 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. 172 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 172.
• Every number is a factor of zero (0), since 172 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, 43, 86, 172 are exact divisors of 172.
• Factors of 172 are 1, 2, 4, 43, 86, 172. Each factor divides 172 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 43, 86, 172 are all less than or equal to 172.

#### Steps to find Factors of 172

• Step 1. Find all the numbers that would divide 172 without leaving any remainder. Starting with the number 1 upto 86 (half of 172). The number 1 and the number itself are always factors of the given number.
172 ÷ 1 : Remainder = 0
172 ÷ 2 : Remainder = 0
172 ÷ 4 : Remainder = 0
172 ÷ 43 : Remainder = 0
172 ÷ 86 : Remainder = 0
172 ÷ 172 : Remainder = 0

Hence, Factors of 172 are 1, 2, 4, 43, 86, and 172

• Is 172 a composite number?

Yes 172 is a composite number.

• Is 172 a prime number?

No 172 is not a prime number.

• Write five multiples of 172.

Five multiples of 172 are 344, 516, 688, 860, 1032.

• Write all odd factors of 172?

The factors of 172 are 1, 2, 4, 43, 86, 172.
Odd factors of 172 are 1 , 43.

• What is the mean of all prime factors of 172?

Factors of 172 are 1 , 2 , 4 , 43 , 86 , 172. Prime factors of 172 are 2 , 2 , 43. Therefore mean of prime factors of 172 is (2 + 2 + 43) / 3 = 15.67.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 172.
- Writing all prime factors of 172.
- Writing all the possible factors of 172 in pair.
Help him in writing all these.

Positive factors of 172 are 1, 2, 4, 43, 86, 172.
Prime factors of 172 are 2, 2, 43.
Factors of 172 in pair are (1,172), (2,86), (4,43).

What are the pair factors of 172?

Factors of 172 are 1, 2, 4, 43, 86, 172. Hence, the factors of 172 in pair are (1,172), (2,86), (4,43).

Can you help Sammy list the factors of 172 and also find the factor pairs?

Factors of 172 are 1, 2, 4, 43, 86, 172.
Factors of 172 in pair are (1,172), (2,86), (4,43).

The area of a rectangle is 172 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 172 in pair. So, the possible combinations (1,172), (2,86), (4,43).

Help Diji in finding factors of 172 by Prime Factorization method and then sorting factors of 172 in pairs.

Prime factorization of 172 is 2 x 2 x 43. Factors of 172 in pair can be written as (1,172), (2,86), (4,43).

Write the smallest prime factor of 172.

Smallest prime factor of 172 is 2.

Write the largest prime factor of 172.

Largest prime factor of 172 is 43.

Diji wants to write all the negative factors of 172. Can you help Diji in doing the same?

Negative factors of 172 are -1, -2, -4, -43, -86, -172.