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Multiples

What Are the Multiples of 24? | All Multiples of 24 up to 1000

Written by Prerit Jain

Updated on: 18 Feb 2023

What Are the Multiples of 24? | All Multiples of 24 up to 1000

What Are the Multiples of 24? | All Multiples of 24 up to 1000

Multiples of 24: Multiples of any given number are calculated by multiplying the given number with an integer. Integers include positive numbers, negative numbers, and zero and do not include any fractions or decimals.

So, the multiples of 24 can be calculated by multiplying 24 with an integer. Let’s understand in detail multiples of 24, how to calculate them using two simple mathematical methods with solved examples, and a table of multiples of 24 up to 1000.

What Are the Multiples of 24?

The multiples of the number 24 can be defined as the numbers that are completely divisible by 24. When the multiples of 24 are divided by 24, they will not leave any remainder or leave zero as their remainder, and a natural number will remain as the quotient. In other words, we can say that a multiple of 24 is a result of multiplying 24 with any natural number. For example, 24 x 2 = 48. Hence, 48 is the 2nd multiple in the multiples of the 24 table.

multiples of 24
First 10 multiples of 24 are 24, 48, 72, 96, 120, 144, 168, 192,216, 240, and 264

How to Find Multiples of 24?

To find multiples of 24, you can use one of two simple mathematical methods: multiplication or repeated addition. The multiplication method in which you simply multiply 24 by a series of whole numbers. The repeated addition method requires you to repeatedly add the number 24 in order to get the table of multiples of 24. To understand the two methods, look at the examples given below:

Finding Multiples of 24 Using Multiplication Method

To obtain the multiples of 24 using the multiplication method, simply multiply the number 24 with the sequence of natural numbers, for example, to obtain the first five multiples of 24, multiply 24 with 1, 2, 3, 4, and 5.

Example,
24 X 1= 24
24 X 2= 48
24 X 3= 72
24 X 4= 96
24 X 5= 120

Finding Multiples of 24 Using Repeated Addition Method

For example, to obtain the first five multiples of 24, i.e., for the numbers 1, 2, 3, 4, and 5, simply add 24 with 0 to obtain the first multiple of 24 which will be 24, then add 24 with 24 to obtain the second multiple which will be 48, then add 24 with 48 to obtain the third multiple of 24 which will be 72 and so on. See the example below:

Example,
24 + 0= 24
24 + 24= 48
24 + 48= 72
24 + 72= 96
24 + 96= 120

How To Find First 20 Multiples of 24 Using the Multiplication Method?

The steps included in finding the first 20 multiples of 24 using the multiplication method are given below:

24 X 124
24 X 248
24 X 372
24 X 496
24 X 5120
24 X 6144
24 X 7168
24 X 8192
24 X 9216
24 X 10240
24 X 11264
24 X 12288
24 X 13312
24X 14336
24 X 15360
24 X 16384
24 X 17408
24 X 18432
24 X 19456
24 X 20480

Calculating Multiples of 24 Up to 1000

Here is a table of multiples of 24 up to 1000:

24487296120144168192216240
264288312336360384408432456480
504528552576600624648672696720
744768792816840864888912936960
984100810321056108011041128115211761200

Properties of Multiples of 24

Here are some properties of multiples of 24:

The smallest multiple of 24 is the number 24.

Every multiple of twenty-four is greater than or equal to the number 24.

All the multiples of 24 are also multiples of 2, 3, 4, 6, and 8.

As there are an infinite number of whole numbers that can be multiplied by 24, there are also an infinite number of multiples of 24.

Solved Examples of Multiples of 24

Q 1: How to calculate the 17th multiple of 24?
A 1:
As we are calculating the 17th multiple of 24, let’s take 17 as “n”,
24 X n= 24n
24 X 17n= 408n.
Therefore, the 12th multiple of 2 is 24.

Q 2: How to find the 24th multiple of 24?
A 2:
As we are calculating the 24th multiple of 24, let’s take 24 as “n”,
24 X n= 24n
24 X 20n= 480n.
Therefore, the 20th multiple of 24 is 480.

Q 3: What are some of the even multiples of 24?
A 3:
Some of the even multiples of 24 are 24, 48, 72, 96, 120, 144, 168, 192,216, 240, 264, 288, 312, 336, and 360. Interestingly, all the multiples of 24 are even numbers as 24 itself is an even number.

Q 4: How to find the first 30 multiples of 24?
A 4:
To calculate the first 30 multiples of 24 multiply 24 with a sequence of natural numbers like 1, 2, 3, 4, and so on.

24 X 124
24 X 248
24 X 372
24 X 496
24 X 5120
24 X 6144
24 X 7168
24 X 8192
24 X 9216
24 X 10240
24 X 11264
24 X 12288
24 X 13312
24X 14336
24 X 15360
24 X 16384
24 X 17408
24 X 18432
24 X 19456
24 X 20480
24 X 21504
24 X 22528
24 X 23552
24 X 24576
24 X 25600
24 X 26624
24 X 27648
24 X 28672
24 X 29696
24 X 30720

Q 4: How to calculate the multiples of 24?
A 4:
You can find multiples of 24 either using two methods namely – Repeated Addition and Multiplication.
1. The Multiplication Method: Multiply the digits by 24 to determine multiples of that number.
Example:
24 X 1 = 24 ,
24 X 2 = 48,
24 X 3 = 72 etc.,
2. Repeated Addition: Also you can find multiples of 24 by performing repeated addition.
Example:
24 + 24 = 48,
24 + 48 = 72 etc.,.

Q 5: If Srinivas gets Rs 2 every day as pocket money, how much money will he have on the 24th day of the month of August?
A 5:
Money Srinivas gets every day= Rs 2
The money he will have on the 24th day = 24 X 2= 48. So, on the 24th day of the month of August, Srinivas will have Rs 48.

FAQs on Multiples of 24

What are the multiples of 24 up to 1000?
The multiples of 24 up to 1000 can be calculated by using the multiplication method or the repeated addition method. The multiples 24 up to 1000 are given below:

24487296120144168192216240
264288312336360384408432456480
504528552576600624648672696720
744768792816840864888912936960
984

What is the least common multiple of 24 and 12?
The first common multiple is termed as the least or lowest common multiple between two numbers.
The first five multiples of 24 are 24, 48, 72, 96, and 120.
The first five multiples of 12 are 12, 24, 36, 48, and 60.
So, the least common or the lowest common multiple of 24 and 12 is 24.

What are all the multiples of 24?
As there are an infinite number of whole numbers that can be multiplied by 24, there is also an infinite number of multiples of 24.

What are the common multiples of 24 and 30?
The first common multiple is termed as the least or lowest common multiple between two numbers.
The first five multiples of 24 are 24, 48, 72, 96, and 120.
The first five multiples of 30 are 30, 60, 90, 120, and 150.
So, the least common or the lowest common multiple of 24 and 30 is 120.

What are the common multiples of 30 and 90?
The first common multiple is termed as the least or lowest common multiple between two numbers.
The first few multiples of 24 are 24, 48, 72, 96, 120, 144, 168, 192,216, 240, 264, 288, 312, 336, and 360.
The first few multiples of 90 are 90, 180, 270, 360, and 450.
So, the least or lowest common multiples of 24 and 90 is 360 which is the 15th multiple of 24 and the 5th multiple of 30.

What are some of the odd multiples of 24?
Interestingly, all the multiples of 24 are even numbers as 24 itself is an even number.

Are 3 and 8 multiples of 24?
No, 3 and 8 are the multiples of 24.

What are the factors and multiples of 24?
First five multiples of 24: 24, 48, 72, 96, and 120.
The factors of 24 can be defined as the numbers which are completely divisible by the number 24.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24.

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Prerit Jain

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