Multiples

What are the Multiples of 4? | All Multiples of 4 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

What are the Multiples of 4? | All Multiples of 4 up to 1000

Multiples of 4: The list of numbers that can be multiplied by 4 by leaving zero as the remainder is known as Multiples of 4. There are infinite multiples for the number 4. The first 5 multiples of 4 are 4, 8, 12, 16, and 20. In this article, we will discuss how to find multiples of 4, a list of multiples from 4 to 1000, and a few solved examples on the same. Scroll down to find out more.

How To Find Multiples of 4?

Any number that can be written in the 4n form, where n is an integer, is considered a multiple of 4. For example, If there are two values, a and b, where b is the multiple of a if b=na for some integer n. In simpler words, the list of numbers that don’t leave any remainder when divided by 4 is the number of multiples of 4.

To find multiples of the number 4, we need to perform repeated addition of the number 4 or multiply the number 4 with a sequence of natural numbers. The steps to find multiples of 4 using repeated addition and multiplication method has been given below:

Finding First 20 Multiples of 4 Using Multiplication Method

The steps to find the first 20 multiples of 4 using the multiplication method have been explained below:

What Are the Multiples of 4 up to 1000?

The multiples of 4 up to 100 and 1000 are tabulated below:

Multiples of 4 Properties

Here are a few properties of multiples of four:

• 4 is a multiple of 1. For example, 4 X 1=4.
• The smallest multiple of 4 is the number 4.
• Every number that is a multiple of four is greater than or equal to the number 4.
• Since we know that there are an unlimited number of possible multiples of a number, the number 4 has an infinite number of multiples.

Solved Examples on Multiples of 4

Question 1: How do you find multiples of 4?
Answer: We can find multiples of 4 either using two methods namely – Repeated Addition, and Multiplication.
1. Multiplication Method: Multiply the digits by 4 to determine multiples of that number.
Example:
4 X 1 = 4,
4 X 2 = 8,
4 X 3 = 12 etc.,
2. Repeated Addition: Also we can find multiples of 4 by performing repeated addition.
Example:
4 + 4 = 8,
8 + 4 = 12 etc.,.

Question 2: What are the multiples of 4 between 20 and 50?
Answer: The Multiples of 4 between 20 and 50 are 20, 24, 28, 32, 36, 40, 44, and 48.

Question 3: What is the sum of the first 5 multiples of 4?
Answer: To find the sum of the first 5 multiples of 4, we need to first find out the first 5 multiples of 4.
The first 5 multiples of 4 are 4, 8, 12, 16, and 20.
Summing first 5 multiples of 4 = 4 + 8 + 12 + 16 + 20 = 60
Hence the sum of 1st 5 terms of a multiple of 4 is 60.

Question 4: What are the first 6 multiples of 4?
The first 6 multiples of 4 are 4, 8, 12, 16, 20, and 24.
Explanation:
4 X 1 = 4
4 X 2 = 8
4 X 3 = 12
4 x 4 = 16
4 x 5 = 20
4 X 6 = 24

Question 5: Is 68 a multiple of 4 yes, or no?
Yes, 68 is a 17th multiple of 4.
Explanation: 4 X 17 = 68.

Question 6: Is 78 a multiple of 4 yes, or no?
No, 78 is not a multiple of 4, since when 78 is divided by 4, it gives the remainder 2.

FAQs on Multiples of 4

What are the common multiples of 3 and 4?
The common multiples of 3 and 4 are infinite. A few common multiples of 3 and 4 are 12, 24, 36, and 48.

What are 5 multiples of 4?
There are infinite multiples of 4. The first 5 multiples of 4 are
4 × 1 = 4
4 × 2 = 8
4 × 3 = 12
4 × 4 = 16
4 × 5 = 20

Are the multiples of 4 always even?
Yes. We know that 4 is an even number and multiples of an even number are always even.

What is the rule for multiples of 4?
A number is a multiple of 4 when it is fully divisible by 4, if its last two digits are also divisible by 4.
For example, consider the number 2308. Look at the last two numbers, or 08. Since the number 8 is divisible by 4, so too is the initial number 2308.

What are the multiples of 4 up to 80?
The multiples of 4 up to 80 are 4, 8, 12,16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80.