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Factors

What Are the Factors of 4? | Prime Factorization and Factor Tree of 4

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

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What Are the Factors of 4? | Prime Factorization and Factor Tree of 4

What Are the Factors of 4? | Prime Factorization and Factor Tree of 4

All integers that can be divided by 4 with 0 as a remainder as known as 4 factors. The factors of 4 has both negative and positive numbers. A number which is factor of 4 with a negative sign are known as factors of 4. Also, the numbers which are factors of 4 with the positive sign are known as positive factors of 4. In this blog, we will learn about 4 factors and how to find factors through prime factorization, and much more.  Scroll down to find out more.

What Are the Factors of 4?

Factors are the numbers that divide the original number without leaving any remainder. In case of 4, the numbers 1, 2, 4 are the numbers which divides the number 4 without leaving any remainder. Therefore, the factors of 4 are 1, 2 and 4.

Since 4 is a composite number, it has more than 2 factors which is of both positive and negative. Hence the positive and negative factors of 4 are given below:

  • Positive factors of 4: 1, 2 and 4.
  • Negative factors of 4: -1, -2 and -4.
  • Prime Factorisation of 4: 2 X 2
  • Prime Factors of 4: 2
  • Sum of factors of 4: 7
  • Sum of prime factors of 4: 2

Write Factors of 4 in Pairs?

Here are the pairs factors of 4:

Positive Pair Factors of 4

The positive pair factors of 4 are given below:

Positive Pair Factors of 4

Negative Pair Factors of 4

The negative pair factors of 4 are given below:

Negative Pair Factors of 4

As we can see, the positive pair factors of 4 are (1, 4), and (2, 2) and negative pair factors of 4 are (-1, -4), and (-2, -2).

How To Find Factors of 4 by Division method?

You can find four factors through the division method. For that, you will have to divide the number 4 with the sequence of natural numbers up to 4. A number that is divided by 4 and doesn’t leave any remainder is the number that is considered 4 factors. The details on how to find factors of number 4 are given below:

  • 4 ÷ 1 = 4
  • 4 ÷ 2 = 2
  • 4 ÷ 3 = Leaves remainder
  • 4 ÷ 4 = 1

As we can see, only 3 leaves a remainder after division, so that means 1, 2, and 4 are the factors of 4.

What Is the Prime Factorisation of 4?

since we can also find factors of 4 through prime factorization. Let’s see the steps below for the prime factorization of 4.

  • Step 1: Divide the number 4 with the least prime number. Hence the least prime number that is divisible by 4 is 2.
  • Step 2: When 4 is divided by 2, we will get the number 2.
  • Step 3: Since 2 is a prime number, we cannot split it anymore.

Hence the prime factors of 4 are 2 X 2 = 4.

Prime Factorization of 4

Write the Factor Tree of 4?

We can also find the prime factors of the number 4 using the factor tree method. The steps to find prime factors of number 4 using the factor tree method are given below:

  • Step 1: Place the number 4 at the top of the factor tree.
  • Step 2: Now, as the tree branches, we will divide the pair factors of 4. Here we are using the pair factor 2,2 as the first branch of 4.
  • Step 3: Since 2 and 2 are prime numbers, we can no longer divide them.

Since all the factors of all the numbers are prime numbers, we can’t separate the number 2 anymore as it is a prime number.

Hence, circling all the branches gives us factors 2, and 2. Therefore, the prime factors of 4 using a factor tree are 2 X 2 = 4.

Factor tree of 4

Solved Examples on Factors of 4

Here are some solved examples on factors of 4.

What is the sum of all the Factors of 4?
The factors of 4 is 1, 2, and 4.
Hence adding 1 + 2 + 4 = 7
The sum of factors of 4 is 7.

What are the factors and prime factors of 4?
The factors of 4 are 1, 2, 4.
The prime factor of 4 is 2.

What’s the highest common factor of 4 and 6?
Factors of 4: 1, 2, 4
6 factors: 1, 2, 3, 6.
Hence the common factors of 4 and 6 are 1, 2.
Therefore the highest common factor of 4 and 6 is 2.

What’s the highest common factor of 4 and 8?
Factors of 4: 1, 2, 4.
Factors of 8: 1, 2, 4, 8.
From the above, the common factors of 4 and 8 are 2, 4.
Hence the highest common factor of 4 and 8 is 4.

What are the highest common factors of 4 and 12?
The highest common factor of 4 and 12 are 4.
Explanation:
Factors of 4: 1, 2, 4.
Twelve Factors: 1, 2, 3, 4, 6, 12.
The common factors of 4 and 12 is 1, 2, 4. And the HCF of 4 and 12 are 4.

FAQs on Factors of 4

The frequently asked questions on 4 factors are given below:

List all the factors of 4
1, 2, and 4 are factors of 4.

What are the composite factors of 4?
4 is the only composite factors of 4.

What are the factors of 4 in pairs?
(1, 4), and (2, 2) are the only two pair of 4.

What are the positive factors of 4?
1, 2, and 4 are the positive factors of 4.

What are the highest common factors of 4 and 10?
2 is the HFC between 4 and 10.

That’s all there is about factors of 4, but if you still have any more questions or concerns, you can put them in the comment section below and we will get back to you as soon as possible with solutions. We hope this blog has been helpful to you and that your concepts about the factors of 4 are much easier and that you have learned well.

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Prerit Jain

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