What are the first 10 multiples of 6?

Multiples of 6 are the products of 6 and natural numbers. In other words, a multiple of 6 is a number that can be divided by 6 and leaves the remainder zero. Interestingly, multiples of 6 have a difference of 6 between each other. In this mini-lesson, we will calculate the multiples of 6 and learn interesting facts about these multiples. In this mini-lesson, let's learn more about multiples of 6 in the tabular form with examples.

• First five multiples of 6: 6, 12, 18, 24, 30
• Prime factorization of 6: 2 x 3

The product of 6  with any number is a multiple of 6.

6×1 = 6

6×2 = 12

6×3 = 18

 We get successive multiples of 6 by skip counting.

If we skip count 128 times by 6, we will get the 128th multiple of 6. i.e., 128×6 = 768.

We obtain the first 20 multiples of 6 by finding the product of 6 and the first 20 natural numbers. 

To understand the concept of finding multiples, let us take a few more examples.

• Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, 100
• Multiples of 4 - The first five multiples of 4 are 4, 8, 12, 16, 20
• Multiples of 5 - The first five multiples of 5 are 5, 10, 15, 20, 25
• Multiples of 3 - The first five multiples of 3 are 3, 6, 9, 12, 15
• Multiples of 7 - The first five multiples of 7 are 7, 14, 21, 28, 35

Important Notes:

• Every number is the smallest multiple of itself.
• All the multiples of 6 are multiples of both 2 and 3. 24 is a multiple of 2 and 3.
• A multiple can be the common multiple of two or more numbers.
  Example: 100 is the common multiple of 2, 4, 5, 10, 20, 25, and 50.
• All the multiples of 6 are even numbers.

1. Example 1  

   Andrea decides to make bracelets one by one in such a way that there are 6 beads in the first bracelet, 12 in the second, 18 in the third, and so on. How many beads would she need to make the 45th bracelet?

   Solution

   In the 4th  bracelet, Andrea needs 4×6 = 24 beads

   In the 8th bracelet, she needs 8×6 = 48 beads.

   Hence for nth bracelet, she needs n×6 beads.

   Here she looks for the 45th bracelet. 

   Thus, Andrea needs 45×6 = 270 beads.

2. Example 2 

   Mike is playing a video game. For every jump over the obstacle, he collects 6 coins. He wants to know how many coins he would have collected if he crosses 112 such jumps. Can you help him to calculate the score?

   Solution

   In one jump, Mike gets 6 coins.

   In 112 jumps, he would have collected 112×6 = 672 coins.

3. Example 3 

   Mia gets a score of 6 points from 8 judges at each level. What will be her score at the end of the 66th level?

   Solution

   Mia's score at each level is 8×6 = 48

   At the 6th level, she would score 48×6 = 288.

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The first 6 multiples of 6 are 6, 12, 18, 24, 30, and 36. Their sum equals to 126.

2. What is the smallest multiple of 6?

The smallest multiple of 6 is 6.

3. What is the seventh multiple of 6?

The seventh multiple of 6 is 7×6 = 42

4. How do you find multiples of 6?

By multiplying 6 to natural numbers we get the multiples of 6.

5. What are 5 multiples of 6?

The first 5 multiples of 6 are 6, 12, 18, 24, and 30.

Multiples of 6 Flashcards

Click on the multiples of 6 flashcards below to memorise the 6 times table:

Multiples of 6 are numbers that can be divided exactly by 6. Multiples of 6 are made by multiplying a whole number by 6. For example, the tenth multiple of 6 is 60 because 10 × 6 = 60.

Multiples of 6 are made by multiplying any whole number by 6. Therefore, the first multiples of 6 are the numbers in the 6 times table.

The first few multiples of 6 are:

• 1 × 6 = 6
• 2 × 6 = 12
• 3 × 6 = 18
• 4 × 6 = 24
• 5 × 6 = 30
• 6 × 6 = 36
• 7 × 6 = 42
• 8 × 6 = 48
• 9 × 6 = 54
• 10 × 6 = 60
• 11 × 6 = 66
• 12 × 6 = 72

Here are the multiples of 6 shown on a number chart.

6 can be divided exactly by 2 and 3. This means that all multiples of 6 are also multiples of 2 and multiples of 3.

Multiples of 6 are always even.

What are the Multiples of 6 to 100

There are 16 multiples of 6 that are less than 100. They are:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90 and 96.

Here is a list of the first 100 multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 306, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414, 420, 426, 432, 438, 444, 450, 456, 462, 468, 474, 480, 496, 492, 498, 504, 510, 516, 522, 528, 534, 540, 546, 552, 558, 564, 570, 576, 582, 588, 594, 600.

How to Find Multiples of 6

To find a multiple of 6, multiply a whole number by 6. For example, 3 × 6 = 18 and so, 18 is the third multiple of 6. Alternatively, start at 0 and count up in sixes. We get 6, 12, 18, 24, 30 and so on.

The first 12 multiples of 6 are shown in the poster below.

To find the next multiples of 6, simply add on 6.

For example, 72 + 6= 78, 78 + 6 = 84 and 84 + 6 = 90.

Therefore 78, 84 and 90 are the thirteenth, fourteenth and fifteenth multiples of 6 respectively.

Here are the remaining multiples of 6 shown on a number grid. When teaching the multiples of 6, start at 0 and count up in sixes. A number grid can be useful for looking for patterns in the multiples and can assist with adding 6 to larger numbers

We can see that multiples of 6 always end in 2, 4, 6, 8 or 0. They do not end in any other number. For a number to be a multiple of 6, it must be an even number.

The Rule for Recognising Multiples of 6

The rule for recognising multiples of 6 is that the number must end in 0, 2, 4, 6, or 8 and the digits must add up to make a number in the 3 times table. For example, 318 is a multiple of 6 because it ends in an 8 and the digits 3 + 1 + 8 add to make 12, which is a number in the 3 times table.

Multiples of 6 are also multiples of 2 and multiples of 3. This is because 6 can be divided exactly by 2 and by 3.

Therefore to test if a number is a multiple of 6 or not, it must also be a multiple of 2 and a multiple of 3.

Multiples of 2 are even numbers and must end in a 0, 2, 4, 6 or 8.

All multiples of 3 have digits that add up to multiples of 3.

A number must pass both of these tests if it is a multiple of 6.

For example, here is 318.

It is a multiple of 2 because it ends in an 8. Multiples of 2 end in 0, 2, 4, 6 or 8.

It is a multiple of 3 because its digits add up to 12. 12 is in the 3 times table.

318 is a multiple of 2 and 3 and therefore, it is a multiple of 6.

If the number does not pass both of these tests, it is not a multiple of 6.

Here is another example of 564.

564 ends in a 4. 4 is an even number and so, 564 is a multiple of 2.

5 + 6 + 4 = 15, which is in the 3 times table. 564 is a multiple of 3.

564 is a multiple of 2 and a multiple of 3, therefore it is also a multiple of 6.