# Factors of 192 in pair

Factors of 192 in pair are (1, 192) , (2, 96) , (3, 64) , (4, 48) , (6, 32) , (8, 24) and (12, 16)

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

 1.   Steps to find factors of 192 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 192 in pair

Factor Pair Pair Factorization
1 and 192 1 x 192 = 192
2 and 96 2 x 96 = 192
3 and 64 3 x 64 = 192
4 and 48 4 x 48 = 192
6 and 32 6 x 32 = 192
8 and 24 8 x 24 = 192
12 and 16 12 x 16 = 192

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 192. They are called negative pair factors.

Hence, the negative pairs of 192 would be ( -1 , -192 ) .

#### 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 192 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 32 , 48 , 64 , 96 , 192. So, factors of 192 in pair are (1,192), (2,96), (3,64), (4,48), (6,32), (8,24), (12,16).

#### 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. 192 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 192.
• Every number is a factor of zero (0), since 192 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, 8, 12, 16, 24, 32, 48, 64, 96, 192 are exact divisors of 192.
• Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. Each factor divides 192 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192 are all less than or equal to 192.

#### Steps to find Factors of 192

• Step 1. Find all the numbers that would divide 192 without leaving any remainder. Starting with the number 1 upto 96 (half of 192). The number 1 and the number itself are always factors of the given number.
192 ÷ 1 : Remainder = 0
192 ÷ 2 : Remainder = 0
192 ÷ 3 : Remainder = 0
192 ÷ 4 : Remainder = 0
192 ÷ 6 : Remainder = 0
192 ÷ 8 : Remainder = 0
192 ÷ 12 : Remainder = 0
192 ÷ 16 : Remainder = 0
192 ÷ 24 : Remainder = 0
192 ÷ 32 : Remainder = 0
192 ÷ 48 : Remainder = 0
192 ÷ 64 : Remainder = 0
192 ÷ 96 : Remainder = 0
192 ÷ 192 : Remainder = 0

Hence, Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, and 192

• Is 192 a composite number?

Yes 192 is a composite number.

• Is 192 a prime number?

No 192 is not a prime number.

• What is the mean of factors of 192?

Factors of 192 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 32 , 48 , 64 , 96 , 192. therefore mean of factors of 192 is (1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 64 + 96 + 192) / 14 = 36.29.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 192 but she is finding it difficult. Can you help her find out?

Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. So, factors of 192 in pair are (1,192), (2,96), (3,64), (4,48), (6,32), (8,24), (12,16).

Sammy wants to write all the negative factors of 192 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 192 are -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -64, -96, -192. Hence, factors of 192 in pair are (-1,-192), (-2,-96), (-3,-64), (-4,-48), (-6,-32), (-8,-24), (-12,-16).

Help Deep in writing the positive factors of 192 in pair and negative factor of 192 in pair.

Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. Positive factors of 192 in pair are (1,192), (2,96), (3,64), (4,48), (6,32), (8,24), (12,16). Negative factors of 192 in pair are (-1,-192), (-2,-96), (-3,-64), (-4,-48), (-6,-32), (-8,-24), (-12,-16).

Find the product of all factors of 192.

Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. So the product of all factors of 192 would be 1 x 2 x 3 x 4 x 6 x 8 x 12 x 16 x 24 x 32 x 48 x 64 x 96 x 192 = 9618527719784448.

Find the product of all prime factors of 192.

Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. Prime factors are 2, 2, 2, 2, 2, 2, 3. So, the product of all prime factors of 192 would be 2 x 2 x 2 x 2 x 2 x 2 x 3 = 192.

Can you help Sammy list the factors of 192 and also find the factor pairs?

Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192.
Factors of 192 in pair are (1,192), (2,96), (3,64), (4,48), (6,32), (8,24), (12,16).

Sammy has 192 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 192 blocks in all possible ways to form a rectangle, we need to calculate factors of 192 in pair. Therefore, factors of 192 in pair are (1,192), (2,96), (3,64), (4,48), (6,32), (8,24), (12,16)