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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

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.

First 10 Multiples of 4 are 4, 8, 12, 26, 20, 24, 28, 32, 36, 40

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 Multiples of 4 using Repeated AdditionFinding Multiples of 4 using Multiplication
4 + 4 = 8
8 + 4 = 12
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
4 X 1 = 4
4 X 2 = 8
4 X 3 = 12
4 X 4 = 16
4 X 5 = 20

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:

4X14
4X28
4X312
4X416
4X520
4X624
4X728
4X832
4X936
4X1040
4X1144
4X1248
4X1352
4X1456
4X1560
4X1664
4X1768
4X1872
4X1976
4X2080

What Are the Multiples of 4 up to 1000?

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

481216202428323640
44485256606468727680
84889296100104108112116120
124128132136140144148152156160
164168172176180184188192196200
204208212216220224228232236240
244248252256260264268272276280
284288292296300304308312316320
324328332336340344348352356360
364368372376380384388392396400
404408412416420424428432436440
444448452456460464468472476480
484488492496500504508512516520
524528532536540544548552556560
564568572576580584588592596600
604608612616620624628632636640
644648652656660664668672676680
684688692696700704708712716720
724728732736740744748752756760
764768772776780784788792796800
804808812816820824828832836840
844848852856860864868872876880
884888892896900904908912916920
924928932936940944948952956960
9649689729769809849889929961000

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?
Answer:
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?
Answer:
Yes, 68 is a 17th multiple of 4.
Explanation: 4 X 17 = 68.

Question 6: Is 78 a multiple of 4 yes, or no?
Answer:
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.

We hope this article on Multiples of 4 is helpful to you.

Written by

Prerit Jain

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