Factors of 101

With the help of the long division method, we can find out that 101 can be easily divided by 1 and 101. 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 101 the pairs are.

1 × 101 = 101

Hence, we can conclude that the factors of 101 are 1 and 101.
 

In the division method, you need to divide the given number 101 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.

101 ÷ 1 = 101 (no remainder)

101 ÷ 101 = 1 (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.

101÷1= 101 (1 is a prime factor).

101 is also a prime number.

Therefore, prime factors of 101 are 1 and 101.
 

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.