# Factors of 112 in pair

Factors of 112 in pair are (1, 112) , (2, 56) , (4, 28) , (7, 16) and (8, 14)

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

 1.   Steps to find factors of 112 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 112 in pair

Factor Pair Pair Factorization
1 and 112 1 x 112 = 112
2 and 56 2 x 56 = 112
4 and 28 4 x 28 = 112
7 and 16 7 x 16 = 112
8 and 14 8 x 14 = 112

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 112. They are called negative pair factors.

Hence, the negative pairs of 112 would be ( -1 , -112 ) .

#### 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 112 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 56 , 112. So, factors of 112 in pair are (1,112), (2,56), (4,28), (7,16), (8,14).

#### 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. 112 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 112.
• Every number is a factor of zero (0), since 112 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, 7, 8, 14, 16, 28, 56, 112 are exact divisors of 112.
• Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. Each factor divides 112 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 8, 14, 16, 28, 56, 112 are all less than or equal to 112.

#### Steps to find Factors of 112

• Step 1. Find all the numbers that would divide 112 without leaving any remainder. Starting with the number 1 upto 56 (half of 112). The number 1 and the number itself are always factors of the given number.
112 ÷ 1 : Remainder = 0
112 ÷ 2 : Remainder = 0
112 ÷ 4 : Remainder = 0
112 ÷ 7 : Remainder = 0
112 ÷ 8 : Remainder = 0
112 ÷ 14 : Remainder = 0
112 ÷ 16 : Remainder = 0
112 ÷ 28 : Remainder = 0
112 ÷ 56 : Remainder = 0
112 ÷ 112 : Remainder = 0

Hence, Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112

• Is 112 a composite number?

Yes 112 is a composite number.

• Is 112 a prime number?

No 112 is not a prime number.

• Write five multiples of 112.

Five multiples of 112 are 224, 336, 448, 560, 672.

• Write all odd factors of 112?

The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
Odd factors of 112 are 1 , 7.

• What is the mean of all prime factors of 112?

Factors of 112 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 56 , 112. Prime factors of 112 are 2 , 2 , 2 , 2 , 7. Therefore mean of prime factors of 112 is (2 + 2 + 2 + 2 + 7) / 5 = 3.00.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 112 but she is finding it difficult. Can you help her find out?

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. So, factors of 112 in pair are (1,112), (2,56), (4,28), (7,16), (8,14).

Sammy wants to write all the negative factors of 112 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 112 are -1, -2, -4, -7, -8, -14, -16, -28, -56, -112. Hence, factors of 112 in pair are (-1,-112), (-2,-56), (-4,-28), (-7,-16), (-8,-14).

Help Deep in writing the positive factors of 112 in pair and negative factor of 112 in pair.

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. Positive factors of 112 in pair are (1,112), (2,56), (4,28), (7,16), (8,14). Negative factors of 112 in pair are (-1,-112), (-2,-56), (-4,-28), (-7,-16), (-8,-14).

Find the product of all factors of 112.

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. So the product of all factors of 112 would be 1 x 2 x 4 x 7 x 8 x 14 x 16 x 28 x 56 x 112 = 17623416832.

Find the product of all prime factors of 112.

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. Prime factors are 2, 2, 2, 2, 7. So, the product of all prime factors of 112 would be 2 x 2 x 2 x 2 x 7 = 112.

Can you help Sammy list the factors of 112 and also find the factor pairs?

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
Factors of 112 in pair are (1,112), (2,56), (4,28), (7,16), (8,14).

Sammy has 112 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 112 blocks in all possible ways to form a rectangle, we need to calculate factors of 112 in pair. Therefore, factors of 112 in pair are (1,112), (2,56), (4,28), (7,16), (8,14)