# Factors of 53 in pair

Factors of 53 in pair are (1, 53) ,

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

 1.   Steps to find factors of 53 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 53 in pair

Factor Pair Pair Factorization
1 and 53 1 x 53 = 53

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 53. They are called negative pair factors.

Hence, the negative pairs of 53 would be ( -1 , -53 ) , .

#### 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 53 are 1 , 53. So, factors of 53 in pair are (1,53).

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 53 are exact divisors of 53.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 53 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 53.

#### Steps to find Factors of 53

• Step 1. Find all the numbers that would divide 53 without leaving any remainder. Starting with the number 1 upto 26 (half of 53). The number 1 and the number itself are always factors of the given number.
53 ÷ 1 : Remainder = 0
53 ÷ 53 : Remainder = 0

Hence, Factors of 53 are 1 and 53

• Is 53 a perfect square?

No 53 is not a perfect square.

• Write five multiples of 53.

Five multiples of 53 are 106, 159, 212, 265, 318.

• Is there any even prime factor of 53?

No there is no even prime factor, i.e. 2, of 53.

• 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

Can you help Rubel in arranging 53 blocks in order to form a rectangle in all possible ways? For arranging 53 blocks in order to form a rectangle in all possible ways we need to find factors of 53 in pair.

Factors of 53 are 1, 53. So, factors of 53 in pair are (1,53).

Ariel has been asked to write all factor pairs of 53 but she is finding it difficult. Can you help her find out?

Factors of 53 are 1, 53. So, factors of 53 in pair are (1,53).

What are the pair factors of 53?

Factors of 53 are 1, 53. Hence, the factors of 53 in pair are (1,53).

Can you help Sammy list the factors of 53 and also find the factor pairs?

Factors of 53 are 1, 53.
Factors of 53 in pair are (1,53).

Help Diji in finding factors of 53 by Prime Factorization method and then sorting factors of 53 in pairs.

Prime factorization of 53 is 53. Factors of 53 in pair can be written as (1,53).

Write the smallest prime factor of 53.

Smallest prime factor of 53 is 53.

Write the largest prime factor of 53.

Largest prime factor of 53 is 53.

Diji wants to write all the negative factors of 53. Can you help Diji in doing the same?

Negative factors of 53 are -1, -53.