Factors of 101

2. Steps to find factors of 101 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 101 using the division method, follow these steps:

• Step 1. Start dividing 101 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 101, which is 101. Divide 101 by 101 to obtain the quotient (1).
  101 ÷ 101 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 101 is, 101 = 101.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 101 as shown below:

So, the prime factorization of 101 is, 101 = 101.

3. Find factors of 101 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 101 would be the two numbers which, when multiplied, give 101 as the result.

The following table represents the calculation of factors of 101 in pairs:

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 101. They are called negative pair factors.

Hence, the negative pairs of 101 would be ( -1 , -101 ) , .

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, 101 are exact divisors of 101.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 101 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 101.

Frequently Asked Questions

• What two numbers make 101?

  Two numbers that make 101 are 101 and 1.

• What is prime factorization of 101?

  Prime factorization of 101 is 101.

• Write some multiples of 101?

  First five multiples of 101 are 202, 303, 404, 505.

• Which is the smallest prime factor of 101?

  The smallest prime factor of 101 is 101.

• Is 101 a perfect square?

  No 101 is not a perfect square.

• What is the sum of all factors of 101?

  The sum of all factors of 101 is 102.

• What are factors of 101?

  Factors of 101 are 1, 101.

• How do you find factors of a negative number? ( eg. -101 )?

  Factors of -101 are -1, -101.

• Is 101 a whole number?

  Yes 101 is a whole number.

Examples of Factors