Factors of 124

With the help of the long division method, we can find out that 124 can be easily divided by 1, 2, 4, 31, 62, and 124. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.

 

There are many methods which the students can use to find out the factors of a number. Below you can find some of these methods.

 

• Multiplication method

 

• Division method

 

• Prime factors and prime factorization

 

• Factor tree
   

Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 124 the pairs are.

1×124=124
2×62=124
4×31=124

Therefore, we are able to conclude that the numbers 1, 2, 4, 31, 62, and 124 represent the factors of the number 124.
 

In the division method, you need to divide the given number 124 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.

124÷1=124 (no remainder)

124÷2=62 (no remainder)

124÷4=31 (no remainder)
 

Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.

124÷2= 62 (2 is a prime factor).

31 is also a prime number.

Therefore, prime factors of 124 are 2 and 31.

A factor tree is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.

 

• Divisor: Any integer that can be divided, with no remainder, by some other integer, is a divisor.

 

• Prime Factorization: Writing a number as the product of its own prime factors.

 

• Factor Pair: Multiplication of two factors to get a product.