Multiples of 60
Multiples of 60 are whole numbers. They are the resultant product of natural numbers and 60. In other words, we can say that the multiples of 60 are the numbers that can be divided by 60 without leaving any remainder. We can create n number of multiples of 60 just by multiplying 60 with n natural numbers.
In this mini-lesson, we will calculate the multiples of 60 and we will learn some interesting facts about these multiples.
- First five multiples of 60: 60, 120, 180, 240, and 300.
- Prime Factorization of 60: 60 = 2 × 2 × 3 × 5
| 1. | What Are the Multiples of 60? |
| 2. | First 20 Multiples of 60 |
| 3. | Important Notes |
| 4. | FAQs on Multiples of 60 |
What Are the Multiples of 60?
It is interesting to note that the multiples of 60 can be conveniently derived from the multiples of the number 6. The first five multiples of 6 are 6, 12, 18, 24, and 30. By multiplying each multiple of 6 by 10, we can derive the multiples of 60.
- 10 × 6 (multiple of 6) = 60 (multiple of 60)
- 10 × 12 = 120
- 10 × 18 = 180
- 10 × 24 = 240
- 10 × 30 = 300
Hence, the first five multiples of 60 are 60, 120, 180, 240, and 300.
The first five multiples of 60 using skip counting are shown below.
First 20 Multiples of 60
The first 20 multiples of 60 are those numbers which we obtain as the result when we multiply natural numbers from 1-20 with 60. The first 20 multiples of 60 can be obtained using a skip count method. The first 20 multiples of the number 60 are listed in the table below.
| First 20 Multiples of 60 | |
|---|---|
| 60 × 1 = 60 | 60 × 11 = 660 |
| 60 × 2 = 120 | 60 × 12 = 720 |
| 60 × 3 = 180 | 60 × 13 = 780 |
| 60 × 4 = 240 | 60 × 14 = 840 |
| 60 × 5 = 300 | 60 × 15 = 900 |
| 60 × 6 = 360 | 60 × 16 = 960 |
| 60 × 7 = 420 | 60 × 17 = 1020 |
| 60 × 8 = 480 | 60 × 18 = 1080 |
| 60 × 9 = 540 | 60 × 19 = 1040 |
| 60 × 10 = 600 | 60 × 20 = 1200 |
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 12 - The first five multiples of 12 are 12, 24, 36, 48, and 60.
- Multiples of 3 - The first five multiples of 3 are 3, 6, 9, 12, and 15.
- Multiples of 10 - The first five multiples of 10 are 10, 20, 30, 40, and 50.
- Multiples of 14 - The first five multiples of 14 are 14, 28, 42, 56, and 70.
- Multiples of 36 - The first five multiples of 36 are 36, 72, 108, 144, and 180.
Challenging Questions:
- Rachel is appearing in an online examination and the time allocated to answer each question is 3 minutes. Convert the time in seconds using the multiples of 60.
- Joe is a farmer and he wishes to fence his land. He also wants to have every sixth pole of the fence in red color. If Joe has used 60 red poles in fencing his land, find the total number of poles used in the fence.
Important Notes:
- The first five multiples of 60 are 60, 120, 180, 240, and 300.
- Multiplying the multiples of 6 by 10 gives you the multiples of 60.
FAQs on Multiples of 60
How do you find the multiples of 60?
Multiply any natural number with 60 or different multiples of 6 by 10.
What are the first 6 multiples of 60?
The first 6 multiples of 60 are 60, 120, 180, 240, 300, and 360.
Are all multiples of 60 multiples of 6?
60 is a multiple of 6. Thus, 6 and all its multiples are common multiples of 6 and 60.
What is the least common multiple of 60?
Generally, a least common multiple is taken for two or more numbers. Here, we have only one number, which is 60. Hence, the least common multiple of the number 60 is 60 itself.
What are the first 5 multiples of 60?
The first 5 multiples of 6 are 60, 120, 180, 240, and 300.