# Factors of 124

Factors of 124 are 1, 2, 4, 31, 62, and 124

#### How to find factors of a number

 1.   Find factors of 124 using Division Method 2.   Find factors of 124 using Prime Factorization 3.   Find factors of 124 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 124

• Divide 124 by 1: 124 ÷ 1 : Remainder = 0
• Divide 124 by 2: 124 ÷ 2 : Remainder = 0
• Divide 124 by 4: 124 ÷ 4 : Remainder = 0
• Divide 124 by 31: 124 ÷ 31 : Remainder = 0
• Divide 124 by 62: 124 ÷ 62 : Remainder = 0
• Divide 124 by 124: 124 ÷ 124 : Remainder = 0

Hence, Factors of 124 are 1, 2, 4, 31, 62, and 124

#### 2. Steps to find factors of 124 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 124 using the division method, follow these steps:

• Step 1. Start dividing 124 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 124, which is 2. Divide 124 by 2 to obtain the quotient (62).
124 ÷ 2 = 62
• Step 3. Repeat step 1 with the obtained quotient (62).
62 ÷ 2 = 31
31 ÷ 31 = 1

So, the prime factorization of 124 is, 124 = 2 x 2 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 124 as shown below:

So, the prime factorization of 124 is, 124 = 2 x 2 x 31.

#### 3. Find factors of 124 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 124 would be the two numbers which, when multiplied, give 124 as the result.

The following table represents the calculation of factors of 124 in pairs:

Factor Pair Pair Factorization
1 and 124 1 x 124 = 124
2 and 62 2 x 62 = 124
4 and 31 4 x 31 = 124

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 124. They are called negative pair factors.

Hence, the negative pairs of 124 would be ( -1 , -124 ) , ( -2 , -62 ) and ( -4 , -31 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 124 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 124.
• Every number is a factor of zero (0), since 124 x 0 = 0.
• 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, 4, 31, 62, 124 are exact divisors of 124.
• Factors of 124 are 1, 2, 4, 31, 62, 124. Each factor divides 124 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 31, 62, 124 are all less than or equal to 124.

• Which is the smallest prime factor of 124?

The smallest prime factor of 124 is 2.

• Is 124 a whole number?

Yes 124 is a whole number.

• What are the prime factors of 124?

The factors of 124 are 1, 2, 4, 31, 62, 124.
Prime factors of 124 are 2, 2, 31.

• What two numbers make 124?

Two numbers that make 124 are 2 and 62.

• What are multiples of 124?

First five multiples of 124 are 248, 372, 496, 620.

• What is the sum of all factors of 124?

The sum of all factors of 124 is 224.

• What are five multiples of 124?

First five multiples of 124 are 248, 372, 496, 620, 744.

• Is 124 a perfect square?

No 124 is not a perfect square.

• What is the greatest prime factors of 124?

The greatest prime factor of 124 is 31.

#### Examples of Factors

How many factors are there for 124?

Factors of 124 are 1, 2, 4, 31, 62, 124.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 124. Can you predict the answer?

5 factor(s) of 124 are 1, 2, 4, 31, 62.

Sammy is puzzled while calculating the prime factors of 124. Can you help him find them?

Factors of 124 are 1, 2, 4, 31, 62, 124.
Prime factors of 124 are 2, 2, 31

What is prime factorization of 124?

Prime factorization of 124 is 2 x 2 x 31 = 22 x 31.

Ariel has been assigned the task to find the product of all the prime factors of 124. Can you help her?

Prime factors of 124 are 2, 2, 31.
Hence, the product of prime factors of 62.

Can you help Rubel to find out the product of the even factors of 124?

Factors of 124 are 1, 2, 4, 31, 62, 124.
Even factors of 124 are 2, 4, 62, 124.
Hence, product of even factors of 124 is; 2 x 4 x 62 x 124 = 61504.

Joy wants to calculate mean of all the factors of 124. Help him in finding the mean of 124.

Factors of 124 are 1, 2, 4, 31, 62, 124.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 124 is 1 + 2 + 4 + 31 + 62 + 124 = 224.
Hence, the mean of factors of 124 is 224 ÷ 6 = 37.33.