# Factors of 61

Factors of 61 are 1 and 61

#### How to find factors of a number

 1.   Find factors of 61 using Division Method 2.   Find factors of 61 using Prime Factorization 3.   Find factors of 61 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 61

• Divide 61 by 1: 61 ÷ 1 : Remainder = 0
• Divide 61 by 61: 61 ÷ 61 : Remainder = 0

Hence, Factors of 61 are 1 and 61

#### 2. Steps to find factors of 61 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 61 using the division method, follow these steps:

• Step 1. Start dividing 61 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 61, which is 61. Divide 61 by 61 to obtain the quotient (1).
61 ÷ 61 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 61 is, 61 = 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 61 as shown below:

So, the prime factorization of 61 is, 61 = 61.

#### 3. Find factors of 61 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 61 would be the two numbers which, when multiplied, give 61 as the result.

The following table represents the calculation of factors of 61 in pairs:

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 ) , .

#### 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.

• Which is the smallest prime factor of 61?

The smallest prime factor of 61 is 61.

• Is 61 a whole number?

Yes 61 is a whole number.

• What are the prime factors of 61?

The factors of 61 are 1, 61.
Prime factors of 61 are 61.

• What two numbers make 61?

Two numbers that make 61 are 61 and 1.

• What are multiples of 61?

First five multiples of 61 are 122, 183, 244, 305.

• What is the sum of all factors of 61?

The sum of all factors of 61 is 62.

• What are five multiples of 61?

First five multiples of 61 are 122, 183, 244, 305, 366.

• Is 61 a perfect square?

No 61 is not a perfect square.

• What is the greatest prime factors of 61?

The greatest prime factor of 61 is 61.

#### Examples of Factors

How many factors are there for 61?

Factors of 61 are 1, 61.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 61. Can you predict the answer?

1 factor(s) of 61 is 1.

Sammy is puzzled while calculating the prime factors of 61. Can you help him find them?

Factors of 61 are 1, 61.
Prime factors of 61 are 61

What is prime factorization of 61?

Prime factorization of 61 is 61 = 61.

Ariel has been assigned the task to find the product of all the prime factors of 61. Can you help her?

Prime factors of 61 are 61.
Hence, the product of prime factors of 61.

Can you help Rubel to find out the product of the even factors of 61?

Factors of 61 are 1, 61.
Even factors of 61 are 0.
Hence, product of even factors of 61 is; 0 = 0.

Joy wants to calculate mean of all the factors of 61. Help him in finding the mean of 61.

Factors of 61 are 1, 61.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 61 is 1 + 61 = 62.
Hence, the mean of factors of 61 is 62 ÷ 2 = 31.00.