Factors of 4 - Find Prime Factorization/Factors of 4 (2024)

Factors of 4are the list of integers that can be evenly divided into 4. Negative factors of 4 are just factors with a negative sign. Did you know, the number 4 is a special number as it is the smallest composite number and the smallest square of a prime number? In this lesson, we will calculate the factors of 4, along with its prime factors, and its factors pairs. We will also solve some examples for a better understanding of the concept.

  • Factors of 4: 1, 2, and 4
  • Negative Factors of 4: -1, -2 and -4
  • Prime Factorization of 4: 4 = 22
1.What are Factors of 4?
2.Important Notes
3.How to Calculate the Factors of 4?
4. Factors of 4 by Prime Factorization
5.Tips And Tricks
6.Factors of 4 in Pairs
7.FAQs on Factors of 4

What are Factors of 4?

Let us recall the meaning of the word "factor." A factor is a number that divides the number into equal parts. The factors of 4 are integers that divide 4 without leaving any remainder. For example, 2 is a factor of 4 because 2 divides 4 without any remainder. Interestingly, the quotient is also 2.

Factors of 4 - Find Prime Factorization/Factors of 4 (1)

Important Notes:

  • Fractions and decimals (numbers that are not integers) cannot be the factors of any number.
  • When a number is a factor of the given number, then its additive inverse is also a factor of the given number.
    For example, since 2 is a factor of 4, -2 is also a factor of 4.
  • 4 is a perfect square and 22 = 4.

How to Calculate the Factors of 4?

Let us learn how to calculate the factors of 4.

  • Step 1: Write down the number to be factored, i.e., 4
  • Step 2: Find the two numbers whose product gives 4

To find the factors of 4, we will do the following.

  • Let's say we consider 2 to be the factor of 4.
  • 4 is equal to the square of 2.
  • 2 is a prime number. Hence, it can only be factored as 1 and the number itself i.e. 2.
  • 4 can be written as, 2 × 2 = 22 = 4

Hence, the factors of 4 are 1, 2, and 4. Explore factors using illustrations and interactive examples:

  • Factors of 400 - The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
  • Factors of 245 - The factors of 245 are 1, 5, 7, 35, 49, 245
  • Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
  • Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
  • Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
  • Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 4 by Prime Factorization

In the process of prime factorization, the number is written as a product of its prime factors. To get the prime factorization of 4, we divide it by its smallest prime factor which is 2 which is 4/2 = 2.

Since 2 is a prime number, it is divisible by 2 only. This process goes on till we get the quotient as 1. The prime factorization of 4 is shown below:

Factors of 4 - Find Prime Factorization/Factors of 4 (2)

Tips and Tricks:

  1. While finding the factors of the number 4, keep the following points in mind:
  • 1 and 4 are always the factors of the number 4.
  • To find the other factors of the number 4, we first find its prime factorization. The multiplicands of the prime factorization are the prime factors of the number 4.

Factors of 4 in Pairs

The pair factors of 4 are obtained by writing 4 as a product of two numbers in all possible ways. In each product, both multiplicands are the factors of 4.

Product that Results in 4

Pair Factors of 4

1 × 4

1, 4

2 × 2

2, 2

4 × 1

4, 1

It is possible to have negative pair factors as well because the product of two negative numbers gives a positive number.

The negative pair factors of 4 are (-1, -4), (-2, -2), and (-4, -1).

FAQs on Factors of 4

What are all the Factors of 4?

The factors of 4 are 1, 2, and 4.

Which Number has 4 as a Factor?

All the multiples of 4 have 4 as a factor. The multiples of 4 are 4, 8, 12, 16, 20, and so on.

Is 8 a Factor of 4?

No, 8 is not a factor of 4. The multiples of 4 are 4, 8, 12, 16, 20, and so on.

What is the Prime Factor of 4?

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

What Factors of 48 are also the Factors of 4?

  • The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
  • The factors of 4 are 1, 2, and 4.

The factors of 48 which are also the factors of 4 are 1, 2, and 4.

Factors of 4 - Find Prime Factorization/Factors of 4 (2024)

FAQs

Factors of 4 - Find Prime Factorization/Factors of 4? ›

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

What is the prime factorization of 4? ›

The number 4 has a prime factorization of 2 x 2. As a result, the highest prime factor of 4 is 2.

What are the four factors of 4? ›

As 4 is an even composite number, it has more than two factors. Thus, the factors of 4 are 1, 2 and 4. Similarly, the negative factors of 4 are -1, -2 and -4. Factors of 4: 1, 2 and 4.

What prime number has 4 factors? ›

So the smallest natural number with four different prime factors is 210 (2*3*5*7).

What is the prime factorization of a 4 digit number? ›

The greatest 4-digit number is 9999. 9999 = 3 × 3 × 11 × 101 [Prime factors are the factors of the given number which are prime.] Thus, the prime factors of the greatest 4-digit number 9999 are 3, 3, 11, 101.

How do you find the factors of prime factorization? ›

The simplest algorithm to find the prime factors of a number is to keep on dividing the original number by prime factors until we get the remainder equal to 1. For example, prime factorizing the number 30 we get, 30/2 = 15, 15/3 = 5, 5/5 = 1.

What's the prime factorization of 4 using exponents? ›

Since 2 is a prime number, the prime factorization of 4 is 2 × 2. Using exponents, we can write this as 2²

What are the first 4 prime factors? ›

So, any number x will be a prime factor if and only if x has only two factors, 1 and x. As we know that set of some smallest numbers are {1, 2, 3, 4, 5, 6………} So, out of them the first four prime numbers will be 2, 3, 5 and 7. Because it is defined that 1 is not a prime number.

How 4 is a prime number? ›

Is 4 a Prime Number? No, 4 is not a prime number. The number 4 is divisible by 1, 2, 4. For a number to be classified as a prime number, it should have exactly two factors.

What is the least prime factor of 4? ›

Input: N = 4 Output: [0, 1, 2, 3, 2] Explanation: least prime factor of 1 = 1, least prime factor of 2 = 2, least prime factor of 3 = 3, least prime factor of 4 = 2.

How to find 4 digit prime number? ›

The digits that are prime numbers are 2, 3, 5 and 7. So for every digit of such an integer as you want you have 4 possibilities. As you want a four-digit number, that gives you 4*4*4*4 = 256 different numbers, from 2222 to 7777.

What is the smallest 4 digit prime factorization? ›

Step-by-step explanation:

1000 is the smallest 4-digit number. So, the Prime factorization of 1000 is 2 × 2 × 2 × 5 × 5 × 5.

What is the prime factorization of 4 and 9? ›

Prime factorization of 4 and 9 is (2 × 2) and (3 × 3) respectively. As visible, there are no common prime factors between 4 and 9, i.e. they are coprime.

How do you write prime factorization? ›

When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, we can write the number 72 as a product of prime factors: 72 = 2 3 ⋅ 3 2 . The expression 2 3 ⋅ 3 2 is said to be the prime factorization of 72.

What is the prime factorization method of 4 and 5? ›

Prime factorization of 4 and 5 is (2 × 2) and (5) respectively.

Is 4 a prime factor of 24? ›

In total there are eight positive factors of 24 and they are 1, 2, 3, 4, 6, 8, 12 and 24. Similar to the positive factors, there are a total of 8 negative factors of 24; -1, -2, -3, -4, -6, -8, -12 and -24. The prime factors of 24 include 2 and 3.

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