# Factors of 37 in pair

Factors of 37 in pair are (1, 37) ,

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

 1.   Steps to find factors of 37 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 37 in pair

Factor Pair Pair Factorization
1 and 37 1 x 37 = 37

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 37. They are called negative pair factors.

Hence, the negative pairs of 37 would be ( -1 , -37 ) , .

#### 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 37 are 1 , 37. So, factors of 37 in pair are (1,37).

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 37 are exact divisors of 37.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 37 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 37.

#### Steps to find Factors of 37

• Step 1. Find all the numbers that would divide 37 without leaving any remainder. Starting with the number 1 upto 18 (half of 37). The number 1 and the number itself are always factors of the given number.
37 ÷ 1 : Remainder = 0
37 ÷ 37 : Remainder = 0

Hence, Factors of 37 are 1 and 37

• Is there any even prime factor of 37?

No there is no even prime factor, i.e. 2, of 37.

• What is the mean of all prime factors of 37?

Factors of 37 are 1 , 37. Prime factors of 37 are 37. Therefore mean of prime factors of 37 is (37) / 1 = 37.00.

• What is the mean of factors of 37?

Factors of 37 are 1 , 37. therefore mean of factors of 37 is (1 + 37) / 2 = 19.00.

• 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 37 blocks in order to form a rectangle in all possible ways? For arranging 37 blocks in order to form a rectangle in all possible ways we need to find factors of 37 in pair.

Factors of 37 are 1, 37. So, factors of 37 in pair are (1,37).

Ariel has been asked to write all factor pairs of 37 but she is finding it difficult. Can you help her find out?

Factors of 37 are 1, 37. So, factors of 37 in pair are (1,37).

What are the pair factors of 37?

Factors of 37 are 1, 37. Hence, the factors of 37 in pair are (1,37).

Can you help Sammy list the factors of 37 and also find the factor pairs?

Factors of 37 are 1, 37.
Factors of 37 in pair are (1,37).

Help Diji in finding factors of 37 by Prime Factorization method and then sorting factors of 37 in pairs.

Prime factorization of 37 is 37. Factors of 37 in pair can be written as (1,37).

Write the smallest prime factor of 37.

Smallest prime factor of 37 is 37.

Write the largest prime factor of 37.

Largest prime factor of 37 is 37.

Diji wants to write all the negative factors of 37. Can you help Diji in doing the same?

Negative factors of 37 are -1, -37.