# Factors of 101

Factors of 101 are 1 and 101

#### How to find factors of a number

 1.   Find factors of 101 using Division Method 2.   Find factors of 101 using Prime Factorization 3.   Find factors of 101 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 101

• Divide 101 by 1: 101 ÷ 1 : Remainder = 0
• Divide 101 by 101: 101 ÷ 101 : Remainder = 0

Hence, Factors of 101 are 1 and 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:

Factor Pair Pair Factorization
1 and 101 1 x 101 = 101

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.

• 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

Joy wants to calculate mean of all the factors of 101. Help him in finding the mean of 101.

Factors of 101 are 1, 101.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 101 is 1 + 101 = 102.
Hence, the mean of factors of 101 is 102 ÷ 2 = 51.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 101? Help her in writing all the factors.

Positive factors are 1, 101.
Negative factors are -1, -101.

Joey wants to write all the prime factors of 101 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 101 are 101.
So in exponential form it can be written as 101.

Kevin has been asked to write 1 factor(s) of 101. Can you predict the answer?

1 factor(s) of 101 is 1.

Sammy is puzzled while calculating the prime factors of 101. Can you help him find them?

Factors of 101 are 1, 101.
Prime factors of 101 are 101

What is prime factorization of 101?

Prime factorization of 101 is 101 = 101.

Can you help Rubel to find out the product of the even factors of 101?

Factors of 101 are 1, 101.
Even factors of 101 are 0.
Hence, product of even factors of 101 is; 0 = 0.