Multiples

# What are the Multiples of 33 | All Multiples of 33 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

### What are the Multiples of 33 | All Multiples of 33 up to 1000

The first ten multiples of 33 are listed as follows: 33, 66, 99, 132, 165, 198, 231, 264, 297, and 330.

The multiples of 33 are a sequence of numbers that can be obtained by multiplying the number 33 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 33 is always 33.

To find the multiples of 33, you need to perform a repeated addition of the number 33 or multiply the number 33 with a sequence of natural numbers.

Alternatively, the multiples of 33 are the numbers that when divided by 33 do not leave any remainder.

## What are the first five multiples of 33

To find the first five multiples of 33, we can follow the same steps as for any other number. To obtain the first multiple of 33, simply multiply 33 by 1. To obtain the second multiple of 33, add 33 to the first multiple, and so on.

Hence, the first 5 multiples of 33 are 33, 66, 99, 132, and 165.

To find the first five multiples of 33, we can use the following steps:

Step 1: To find the first multiple of 33, multiply 33 by 1. 33 x 1 = 33.

Step 2: To find the second multiple of 33, multiply 33 by 2. 33 x 2 = 66. Alternatively, you can add 33 to the first multiple to get the second multiple of 33. 33 + 33 = 66.

Step 3: Multiply 33 by 3 to get the third multiple of 33. 33 x 3 = 99. Alternatively, you can add 33 two times to the second multiple to get the third multiple of 33. 66 + 33 = 99.

Step 4: The fourth multiple of 33 can be found by multiplying 33 by 4. 33 x 4 = 132. Alternatively, you can add 33 three times to the third multiple to get the fourth multiple of 33. 99 + 33 = 132.

Step 5: To find the fifth multiple of 33, you need to multiply 33 by 5. 33 x 5 = 165. Alternatively, you can add 33 four times to the fourth multiple to get the fifth multiple of 33. 132 + 33 = 165.

Hence the first 5 multiples of 33 are 33, 66, 99, 132, and 165.

## How to find the multiples of 33?

To find the multiples of 33, we can also use the two methods. The first method is the repeated addition method and the second is the multiplication method.

### Finding Multiples of  33 using the repeated addition method

In this method, we add the number 33 to itself repeatedly to obtain the multiples. For example, the first multiple of 33 is 33 itself. To obtain the second multiple of 33, we add 33 to the first multiple, which gives 66. We continue this process to get the third, fourth, and so on multiples of 33. An example of the first five multiples of 33 using the repeated addition method is given below:

33

33 + 33 = 66

66 + 33 = 99

99 + 33 = 132

132 + 33 = 165

### Finding Multiples of 33 using the multiplication method

The second method to find the multiples of 33 is the multiplication method. This involves multiplying the number 33 by a sequence of natural numbers. For example, to find the first five multiples of 33 using the multiplication method, we need to multiply 33 by 1, 2, 3, 4, and 5. The detailed steps are given below:

Step 1: To find the first multiple of 33, multiply 33 by 1. 33 X 1 = 33.

Step 2: To find the second multiple of 33, multiply 33 by 2. 33 X 2 = 66.

Step 3: Multiply 33 by 3 to get the third multiple of 33. 33 X 3 = 99.

Step 4: The fourth multiple of 33 can be found by multiplying 33 by 4. 33 X 4 = 132.

Step 5: To find the fifth multiple of 33, you need to multiply 33 by 5. 33 x 5 = 165.

Hence the first 5 multiples of 33 are 33, 66, 99, 132, and 165. Both methods are useful and can be used to find multiples of any number, including 33.

## Finding the first 20 multiples of 33

To find the first 20 multiples of 33 using the multiplication method, you can create a table with the sequence of numbers from 1 to 20 and multiply 33 with each number in the sequence. The first 20 multiples of 33 are given below:

## Difference between Multiples and Factors of 33

In mathematics multiples and factors are two very different concepts.

To summarize, multiples of 33 are obtained by multiplying 33 by any integer, whereas factors of 33 are numbers that divide 33 exactly without leaving any remainder. It’s worth noting that every multiple of 33 is a multiple of 3, but not every factor of 33 is a multiple of 3.

## Solved Examples for Multiples of 33

1. What is the sixth multiple of 33?

To find the sixth multiple of 33, we can multiply 33 by 6:

6 x 33 = 198

So, the sixth multiple of 33 is 198.

1. Is 297 a multiple of 33?

To determine whether 297 is a multiple of 33, we can divide 297 by 33:

297 ÷ 33 = 9

Since 9 is an integer, 297 is a multiple of 33.

1. What is the next multiple of 33 after 231?

To find the next multiple of 33 after 231, we can add 33 to 231:

231 + 33 = 264

So, the next multiple of 33 after 231 is 264.

1. What is the sum of the first 10 multiples of 33?

To find the sum of the first 10 multiples of 33, we can use the formula for the sum of an arithmetic series:

Sum = (n/2) x (first term + last term)

Here, n = 10 (since we want the sum of the first 10 multiples), the first term is 33, and the last term is 330 (since the tenth multiple of 33 is 330).

The sum is:

Sum = (10/2) x (33 + 330) = 1815

1. What is the difference between the eighth and fourth multiples of 33?

To find the difference between the eighth and fourth multiples of 33, we can subtract the fourth multiple from the eighth multiple:

8 x 33 – 4 x 33 = 264 – 132 = 132

So, the difference between the eighth and fourth multiples of 33 is 132.

1. Is 462 a multiple of 33?

To determine whether 462 is a multiple of 33, we can divide 462 by 33:

462 ÷ 33 = 14

Since 14 is an integer, 462 is a multiple of 33.

1. What is the product of the first 5 multiples of 33?

To find the product of the first 5 multiples of 33, we can multiply the first 5 multiples together:

33 x 66 x 99 x 132 x 165 = 3,750,217,800

So, the product of the first 5 multiples of 33 is 3,750,217,800.

1. What is the smallest multiple of 33 that is greater than 1000?

To find the smallest multiple of 33 that is greater than 1000, we can divide 1000 by 33 and take the next integer:

1000 ÷ 33 = 30 (remainder 10)

So, the smallest multiple of 33 that is greater than 1000 is 33 x (30 + 1) = 33 x 31 = 1023.

## FAQs on Multiples of 33

### What are the first ten multiples of 33?

The first ten multiples of 33 are listed as follows 33, 66, 99, 132, 165, 198, 231, 264, 297, 330.

### How do you find the multiples of 33?

To find the multiples of 33, you can multiply 33 by any integer. For example, the first few multiples of 33 are listed as follows 33, 66, 99, 132, 165, 198, and so on.

### Is 495 a multiple of 33?

To determine whether 495 is a multiple of 33, you can divide 495 by 33. If the quotient is an integer, then 495 is a multiple of 33. In this case, we have:495 ÷ 33 = 15
Since 15 is an integer, 495 is a multiple of 33.

### What is the common factor of all multiples of 33?

The common factor of all multiples of 33 is 33 itself since every multiple of 33 is obtained by multiplying 33 by an integer.

### How do you find the least common multiple of two numbers, one of which is 33?

To find the least common multiple of two numbers, one of which is 33, you can use the prime factorization method. For example, if you want to find the least common multiple of 33 and 20, you can first factor each number:33 = 3 x 11
20 = 2 x 2 x 5
Then, you can take the product of the highest powers of each prime factor:
LCM = 2^2 x 3 x 5 x 11 = 660
So, the least common multiple of 33 and 20 is 660.

Written by by

Prerit Jain

Share article on