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Factors of 101 | Factor Tree of 101 and Prime Factorization

Written by Prerit Jain

Updated on: 05 Dec 2023


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Factors of 101 | Factor Tree of 101 and Prime Factorization

Factors of 101 | Factor Tree of 101 and Prime Factorization

The number 101 is a prime number, which means the number 101 has only two factors: 1 and the number 101 itself. In this article, let us understand how to find factors of 101, prime factorization of 101, and its factor tree along with the solved examples. Scroll down to find out more.

What Are the Factors of 101?

Factors of any number are the numbers that divide the number entirely without leaving any remainder. If the given number is a prime number, it doesn’t have more than one factor. Alternatively, if the given number is composite, it means that particular number has more than one factor.

Since 101 is a prime number, it has two factors, and they are 1 and 101.

101 Factors = 1, and 101
Prime Factors of 101 = 101
Sum of Factors of 101 = 102
Sum of Prime Factor of 101 = 101
Positive Factors of 101 = 1, 101
Negative Factors of 101 = -1, -101
Factors of 101

What Are the Factors of 101 in Pairs?

When a pair of numbers multiplied by each other and give 101 is known as 101 pair factors. These paired factors can either be positive or negative. Let’s see all the pair factors of 101 from the table below:

Positive Pair Factors of 101

The positive pair factors of 101 are tabulated below:

Positive Pair Factors of 101

Negative Pair Factors of 101

The negative pair factors of 101 are tabulated below:

Negative Pair Factors of 101

How To Find Factors of 101 by Division Method?

You can also find 101 factors through the division method. In this method, you will divide 101 by other integers. If the integer gets divided by 101 completely without a remainder, then it means that there are 101 factors.

  • 101 ÷ 1 = 101
  • 101 ÷ 101 = 1

Now we can see that 1 and 101 are the only numbers that can be divided by 101. So, it means they are the factors of 101.

What Are 101 Prime Factors?

When the number 101 is written as a product of the number’s prime factor, it is called prime factorization of 101. Let’s see the steps to find 101 prime factors:

  • Step 1: Write the number 101 and see the least prime number which is divisible by 101.
  • Step 2: Since 101 is itself a prime number, we cannot divide it further. Hence dividing 101 with 101 leaves no remainder.

Hence the prime factor of 101 is 101.

Prime Factorization of 101

What Is the Factor Tree for 101?

Students can also use the factor tree to find the 101 prime factors. In a factor tree, we divide a number until the answer becomes 1, and the factors are written in the form of branches of a tree. Then, the last factors are circled, and they are the prime factors of the number. The detailed steps on how to do this are explained below:

  • Step 1: Let’s place the number 101 at the top and write down 101 in pairs, that is, 1 and 101.
  • Step 2: Now we will see all the prime numbers in the factor tree as the branches. 
  • Step 3: Circling all the branches 1 x 101 = 101, which are 101 prime factors.

Factor tree of 101

Solved Examples on Factors of 101

What is the sum of all the factors of 101?
1, and 101 are the 101 factors.
1 + 101 = 102
Hence, 102 is the sum of all 101 factors.

What are the factors and prime factors of 101?
The 101 factors: 1, and 101
Prime Factors of 101: 1 X 101 or 1011.

What’s the highest common factor between 150 and 101?
Factors of 105: 1, 3, 5, 7, 15, 21, 35, and 105.
The 101 factors are 1, and 101.
GCF between 105 and 101: 1

Is 100 a factor of 101?
No, 100 is not a factor of 101.
As 100 ÷ 101 = leaves a remainder.

What’s the highest common factor between 98 and 101?
Factors of 98: 1, 2, 7, 14, 49, and 98.
The 101 factors are 1, and 101.
GCF between 98 and 101: 1

FAQs on Factors of 101

List all the factors of 101
1, and 101 are the 101 factors.

What are the composite factors of 101?
101 has no composite factors.

What are the factors of 101 in pairs?
(1, 101) is the only pair of factors of 101.

What are the positive factors for 101?
1, and 101 are the positive factors for 101.

So, that is all about factors of 101, factor tree, and prime factorization. We hope this has been easy to understand and a great source of learning for you. But if you do still have any more doubts, feel free to share them in the comment section below, and we will help you with the answers.

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Prerit Jain

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