# Factors of 61 in pair

Factors of 61 in pair are (1, 61) ,

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

 1.   Steps to find factors of 61 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 61 in pair

Factor Pair Pair Factorization
1 and 61 1 x 61 = 61

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 61. They are called negative pair factors.

Hence, the negative pairs of 61 would be ( -1 , -61 ) , .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 61 are 1 , 61. So, factors of 61 in pair are (1,61).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 61 are exact divisors of 61.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 61 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 61.

#### Steps to find Factors of 61

• Step 1. Find all the numbers that would divide 61 without leaving any remainder. Starting with the number 1 upto 30 (half of 61). The number 1 and the number itself are always factors of the given number.
61 ÷ 1 : Remainder = 0
61 ÷ 61 : Remainder = 0

Hence, Factors of 61 are 1 and 61

• Is there any even prime factor of 61?

No there is no even prime factor, i.e. 2, of 61.

• What is the mean of all prime factors of 61?

Factors of 61 are 1 , 61. Prime factors of 61 are 61. Therefore mean of prime factors of 61 is (61) / 1 = 61.00.

• What is the mean of factors of 61?

Factors of 61 are 1 , 61. therefore mean of factors of 61 is (1 + 61) / 2 = 31.00.

• 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 61 blocks in order to form a rectangle in all possible ways? For arranging 61 blocks in order to form a rectangle in all possible ways we need to find factors of 61 in pair.

Factors of 61 are 1, 61. So, factors of 61 in pair are (1,61).

Ariel has been asked to write all factor pairs of 61 but she is finding it difficult. Can you help her find out?

Factors of 61 are 1, 61. So, factors of 61 in pair are (1,61).

What are the pair factors of 61?

Factors of 61 are 1, 61. Hence, the factors of 61 in pair are (1,61).

Can you help Sammy list the factors of 61 and also find the factor pairs?

Factors of 61 are 1, 61.
Factors of 61 in pair are (1,61).

Help Diji in finding factors of 61 by Prime Factorization method and then sorting factors of 61 in pairs.

Prime factorization of 61 is 61. Factors of 61 in pair can be written as (1,61).

Write the smallest prime factor of 61.

Smallest prime factor of 61 is 61.

Write the largest prime factor of 61.

Largest prime factor of 61 is 61.

Diji wants to write all the negative factors of 61. Can you help Diji in doing the same?

Negative factors of 61 are -1, -61.