# Factors of 62

Factors of 62 are 1, 2, 31, and 62

#### How to find factors of a number

 1.   Find factors of 62 using Division Method 2.   Find factors of 62 using Prime Factorization 3.   Find factors of 62 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 62

• Divide 62 by 1: 62 ÷ 1 : Remainder = 0
• Divide 62 by 2: 62 ÷ 2 : Remainder = 0
• Divide 62 by 31: 62 ÷ 31 : Remainder = 0
• Divide 62 by 62: 62 ÷ 62 : Remainder = 0

Hence, Factors of 62 are 1, 2, 31, and 62

#### 2. Steps to find factors of 62 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 62 using the division method, follow these steps:

• Step 1. Start dividing 62 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 62, which is 2. Divide 62 by 2 to obtain the quotient (31).
62 ÷ 2 = 31
• Step 3. Repeat step 1 with the obtained quotient (31).
31 ÷ 31 = 1

So, the prime factorization of 62 is, 62 = 2 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 62 as shown below:

So, the prime factorization of 62 is, 62 = 2 x 31.

#### 3. Find factors of 62 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 62 would be the two numbers which, when multiplied, give 62 as the result.

The following table represents the calculation of factors of 62 in pairs:

Factor Pair Pair Factorization
1 and 62 1 x 62 = 62
2 and 31 2 x 31 = 62

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 62. They are called negative pair factors.

Hence, the negative pairs of 62 would be ( -1 , -62 ) , ( -2 , -31 ) .

#### 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

• Each number is a factor of itself. Eg. 62 is a factor of itself.
• 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, 31, 62 are exact divisors of 62.
• 1 is a factor of every number. Eg. 1 is a factor of 62.
• Every number is a factor of zero (0), since 62 x 0 = 0.

• What is prime factorization of 62?

Prime factorization of 62 is 2 x 31.

• How do you find factors of a negative number? ( eg. -62 )?

Factors of -62 are -1, -2, -31, -62.

• What are the prime factors of 62?

The factors of 62 are 1, 2, 31, 62.
Prime factors of 62 are 2, 31.

• What are pair factors of 62?

The pair factors of 62 are (1,62), (2,31).

• What is the greatest prime factors of 62?

The greatest prime factor of 62 is 31.

• What are six multiples of 62?

First five multiples of 62 are 124, 186, 248, 310, 372, 434.

• What are factors of 62?

Factors of 62 are 1, 2, 31, 62.

• Which is the smallest prime factor of 62?

Smallest prime factor of 62 is 2.

• Is 62 a whole number?

Yes 62 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 62. Can you predict the answer?

3 factor(s) of 62 are 1, 2, 31.

Sammy is puzzled while calculating the prime factors of 62. Can you help him find them?

Factors of 62 are 1, 2, 31, 62.
Prime factors of 62 are 2, 31

What is prime factorization of 62?

Prime factorization of 62 is 2 x 31 = 2 x 31.

Ariel has been assigned the task to find the product of all the prime factors of 62. Can you help her?

Prime factors of 62 are 2, 31.
Hence, the product of prime factors of 62.

Can you help Rubel to find out the product of the even factors of 62?

Factors of 62 are 1, 2, 31, 62.
Even factors of 62 are 2, 62.
Hence, product of even factors of 62 is; 2 x 62 = 124.

Joy wants to calculate mean of all the factors of 62. Help him in finding the mean of 62.

Factors of 62 are 1, 2, 31, 62.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 62 is 1 + 2 + 31 + 62 = 96.
Hence, the mean of factors of 62 is 96 ÷ 4 = 24.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 62? Help her in writing all the factors.

Positive factors are 1, 2, 31, 62.
Negative factors are -1, -2, -31, -62.