# Factors of 48 in pair

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

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

 1.   Steps to find factors of 48 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 48 in pair

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

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 48. They are called negative pair factors.

Hence, the negative pairs of 48 would be ( -1 , -48 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 48 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48. So, factors of 48 in pair are (1,48), (2,24), (3,16), (4,12), (6,8).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 48 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 48.
• Every number is a factor of zero (0), since 48 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, 48 are exact divisors of 48.
• Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Each factor divides 48 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, 48 are all less than or equal to 48.

#### Steps to find Factors of 48

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

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

• Is 48 a composite number?

Yes 48 is a composite number.

• Is 48 a prime number?

No 48 is not a prime number.

• What is the mean of factors of 48?

Factors of 48 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48. therefore mean of factors of 48 is (1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 48) / 10 = 12.40.

• 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 48 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 48 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 48 in pair and negative factor of 48 in pair.

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

Find the product of all factors of 48.

Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. So the product of all factors of 48 would be 1 x 2 x 3 x 4 x 6 x 8 x 12 x 16 x 24 x 48 = 254803968.

Find the product of all prime factors of 48.

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

Can you help Sammy list the factors of 48 and also find the factor pairs?

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

Sammy has 48 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 48 blocks in all possible ways to form a rectangle, we need to calculate factors of 48 in pair. Therefore, factors of 48 in pair are (1,48), (2,24), (3,16), (4,12), (6,8)