Multiples of 8
Did you know there is only one multiple of 8 in the subsequent tens, except when the units place is a zero (40 and 80 are an example)? However, multiples of 8 follow a pattern of 8, 6, 4, 2, 0 in the unit's place. In this mini-lesson, we will calculate the multiples of 8 and learn interesting facts about these multiples.
- First five multiples of 8: 8, 16, 24, 32, 40
- Prime factorization of 8: 8 = 2 × 2 × 2 = 23
1. | What Are the Multiples of 8? |
2. | First 30 Multiples of 8 |
3. | Important Notes |
4. | FAQs on Multiples of 8 |
5. | Challenging Questions |
What Are the Multiples of 8?
Do you remember the multiplication tables? Let us see how it helps us understand the meaning of multiples while we list the first five multiples of the number 8.
The first five multiples of 8 are 8, 16, 24, 32, and 40. You can see that the multiples of 8 are in the table of 8. The multiples of 8 are all the numbers that result from the multiplication of 8 by another whole number or integer. Basically, a sequence goes on where the numbers are of the form 8n and the difference between each succeeding number and the preceding number is 8.
Any number that can be of the form 8n where n is a natural number, is a multiple of 8. Multiple of 8 = 8n (where n is any natural number). We can also use division to find out if a number is a multiple of another. For example, 80 ÷ 8 = 10 signifies 80 is a multiple of 8.
List of First 30 Multiples of 8
Here are the first 30 multiples of 8:
8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |
88 | 96 | 104 | 112 | 120 | 128 | 136 | 144 | 152 | 160 |
168 | 176 | 184 | 192 | 200 | 208 | 216 | 224 | 232 | 240 |
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 9 - The first five multiples of 9 are 9, 18, 27, 36, 45
- Multiples of 2 - The first five multiples of 2 are 2, 4, 6, 8, 10
- Multiples of 18 - The first five multiples of 18 are 18, 36, 54, 72, 90
- Multiples of 4 - The first five multiples of 4 are 4, 8, 12, 16, 20
- Multiples of 7 - The first five multiples of 7 are 7, 14, 21, 28, 35
Important Notes:
- The first and smallest multiple of any number is the number itself.
- Every multiple of a number is greater than or equal to the number itself.
- If a number is a multiple of another, it will divide exactly, not leaving any remainder.
Challenging Questions:
- I am a multiple of 8 as well as a multiple of 9. As far as my position is concerned, I come between 200 and 300. Guess which number am I?
- I am a multiple of 8, 9, and 15. I am greater than 300 but less than 400. Guess which number am I?
Multiples of 8 Solved Examples
-
Example 1: Four friends Ria, Joe, Sam, and Tom decided to pluck flowers from the garden in the order of the first four multiples of 8 respectively. Can you list the number of flowers that each of them plucked as a series of the first four multiples of 8?
Solution:
The first 4 multiples of 8 are 8, 16, 24, and 32. Thus, Ria plucked 8 flowers.
Joe plucked 16 flowers.
Sam plucked 24 flowers.
Tom plucked 32 flowers.Hence, Ria, Joe, Sam, and Tom plucked 8, 16, 24, and 32 flowers respectively.
-
Example 2: Anne's teacher asked her to fill in the blanks in the increasing order of the multiples of 8. Can you help her in filling the missing blanks?
8, 16, __, 32, __, 48, 56, 64, 72, __, __
Solution:
Let us start recalling the table of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Hence, the missing blanks will be filled with 24, 40, 72, 80, and 88. -
Example 3: Noah attends music classes which are scheduled once every eight days. Starting from the 8th of October, he marked those dates on the calendar. Write down the dates he will mark for his upcoming classes that will be scheduled in the month of October.
Solution:
As per the schedule from 8th October, Noah will attend his classes as per the multiples of 8. Multiples of 8 are 8, 16, 24, and so on. In the month of October, there are 31 days.
Hence, Noah will attend music classes on 16th October and 24th October after 8th October. -
Example 4: A gardener planted 8 rose bushes in the first week. The next week he added 8 more rose bushes. He continued to do the same until the 4th week. How many bushes did he plant by the end of the fourth week? Which series of multiples is being followed here?
Solution:
We know that the gardener planted 8 bushes every week.
Hence, by the end of the fourth week, he planted 32 bushes (8 × 4 = 32)8, 16, 24, 32 are multiples of 8.
Hence, the series of the multiples of 8 is followed here.
FAQs on Multiples of 8
How do you find the multiples of 8?
Multiply any natural number with 8 and you will get the multiples of 8.
What are the first eight multiples of 8?
he first eight multiples of 8 are 8, 16, 24, 32, 40, 48, 56, and 64.
Are all multiples of 8 multiples of 4?
8 is a multiple of 4; thus, 8 and all its multiples are common multiples of 4 and 8.
What is the 7th multiple of 8?
The 7th multiple of 8 is 56.
What is the least common multiple of 8 and 9?
We can find the least common multiples of two numbers a and b can be calculated using the formula: (a × b)/GCF(a, b)
Hence, the least common multiple of 8 and 9 is given as, (8 × 9)/GCF(8, 9).
Here GCF(8,9) is the greatest common factor of 8 and 9.
GCF(8, 9) = 1
LCM(8, 9) = (8 × 9)/GCF(8, 9) = 72/1 = 72
visual curriculum