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Factors

Factors of 47 | Prime Factorization of 47 | Factor Tree of 47

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

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Factors of 47 | Prime Factorization of 47 | Factor Tree of 47

Factors of 47 | Prime Factorization of 47 | Factor Tree of 47

Factors of 47: Factors of a number are those which can divide the given number evenly. They leave behind no remainder.

47 is a prime number. So, it has only two factors that can divide it evenly. These factors are 1 and 47.


All numbers have factors that are positive and negative. They also have pair factors. So, multiplying the set of two factors in pairs gives the original product.

We will find the factors of 47 in this article. We will also learn about its prime factorization, and factor trees with examples. Keep reading to learn more.

What Are the Factors of 47?

The factors of 47 are the numbers that divide it evenly without leaving a remainder. These factors can be positive and negative. Hence, the number 47 has both positive and negative factors.

Factors of 47: 1 and 47.
Negative Factors of 47: -1 and -47
Prime Factorization of 47: 1 X 47
Pair Factors of 47: (1, 47)
Prime Factors of 47: 47
Sum of Factors of 47: 48
Sum of Prime Factors of 47: 47
Factors of 47

What Are the Factors of 47 in Pairs?

A pair factor of 47 is a combination of two numbers when multiplied yields the product of the original number. These pair factors are also written in positive and negative pairs as shown in the table below:

Positive Pair Factors of 47

The positive pair factors of 47 are (1, 47).

Positive Pair Factors of 47

Negative Pair Factors of 47

The negative pair factors of 47 are (-1, -47).

Negative Pair Factors of 47

How To Find Factors of 47 Through Division Method?

We are going to use the division method to determine the factors of 47. The numbers that divide 47 completely, without leaving any reminders are entered sequentially and tested, to see the result. The following are the detailed steps to find the factors of 47:
• 47 ÷ 1 = 47
• 47 ÷ 47 = 1
Therefore, we can see that 1 and 47 are the numbers that do not leave any remainder when divided with 47, so they are its factors.

What Is the Prime Factorization of 47?

Check if the given number is a prime number. If the given number is a prime number, then it has only two factors: 1 and 47. If the given number is composite, then it has more than two factors.


47 is a prime number and has only two factors. So, we need not employ the prime factorization method to find its factors. But here is an example to provide a clear perspective.

Step 1: Divide the number 47 with the smallest prime number that can divide it. Hence the smallest prime number that is divisible by 47 is 47.
47 ÷ 47 = 1

Step 2: The quotient is 1. It cannot be divided any further. This brings us to the end of prime factorization.

The prime factors of 47 are 47 X 1 or 47.

Image representation of the prime factorization of 47:

Prime Factorization of 47

What is the Factor Tree of 47?

The factor tree can also be used to find the factors of a number. In the case of 47, however, the factor tree is not required. This is because 47 being a prime number, can have only two factors- 1 and 47. But here are detailed steps to draw a factor tree for 47, for a clearer understanding.


Step 1: Let’s place the number 47 on top of the factor tree. Now write down 47 in pairs. The only pair factors for 47 are 1 and 47.


Step 2: Since 47 is a prime number, we can no longer separate it. We cannot separate 1 either. The branches in the factor tree will now be all the prime numbers.

Hence, circling all the branches, 47 or 47 X 1 = 47.
The way to write a factor tree for 47 is as follows.

Factor tree of 47

Solved Examples of Factors of 47

Here are some solved examples of 47 factors:

What is the sum of all the factors of 47?
1 and 47 are the 47 factors.
1 + 47 = 48
Hence, 48 is the sum of all 47 factors.

What are the factors and prime factors of 47?
The factors of 47 are 1 and 47.
The prime factors of 47 are: 471 or 47 X 1 = 47.

What’s the highest common factor between 47 and 37?
The factors of 47 are 1 and 47.
Factors 37 are 1 and 47.
Hence, from the above, the highest and only common factor of 47 and 37 is 1.

What’s the highest common factor between 47 and 63?
The factors of 47 are 1 and 47.
Factors of 63 are 1, 3, 7, 9, 21 and 63.
Hence, from the above, the highest and only common factor of 47 and 63 is 1.

Is 2 a factor of 47?
No, 2 is not a factor of 47. 2 does not divide 47 evenly. 2 will also leave a reminder behind.

What are the factors of -47?
The factors of -47 are -1 and -47.

What are the common factors of 47 and 94?
To find the common factors of 47 and 94, we need to find the factors of both numbers.
Factors of 47: 1 and 47
Factors of 94: 1, 2, 47 and 94
Hence the common factors of 47 and 94 are 1 and 47.

What are all the factors of 47?
The factors of 47 are 1 and 47.

What are the factors of 47 that are composite?
Any number which has more than 2 factors is known as a composite number. But 47 is a prime number and does not have any composite factors.

How many 47 factors are odd?
All factors of 47 are odd numbers and they are 1 and 47.

How many pair factors are there in 47?
A total of 1 pair is there in factors of 47.

What is the largest factor of 47?
The largest factor of 47 is 47.
The second largest factor of 47 is 1.

FAQs on Factors of 48

List all the factors of 47
1 and 47 are the 47 factors.

What are the composite factors of 47?
47 is a prime number and does not have any composite factors.
Composite factors are those that have more than 2 factors other than 1 and itself.

What are the factors of 47 in pairs?
(1, 47) is a pair factor of 47.

What are the positive factors for 47?
1 and 47 are the positive factors for 47.

Is 47 divisible by any other number apart from 47?
47 is a prime number. The only other number that can divide it is 1.

Now you have all the necessary information regarding the factors of 47. We hope this blog has been useful and easy to understand.

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Prerit Jain

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