In mathematics, multiples are numbers that can be produced by multiplying a given number by any integer. For instance, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21, ….
Multiples of 48 are whole numbers that can be obtained by multiplying 48 by an integer. We will look at the first few multiples of 48 and how we can obtain them.
How To Find Multiples of 48
First Multiple of 48
The first multiple of 48 is 48. This is because any number multiplied by 1 gives the number itself. Therefore, we have:
1 x 48 = 48
Second Multiple of 48
To find the second multiple of 48, we multiply 48 by 2. This gives us:
2 x 48 = 96
Therefore, the second multiple of 48 is 96.
Third Multiple of 48
To obtain the third multiple of 48, we multiply 48 by 3. This gives us:
3 x 48 = 144
Thus, the third multiple of 48 is 144.
Fourth Multiple of 48
To obtain the fourth multiple of 48, we multiply 48 by 4. This gives us:
4 x 48 = 192
Thus, the fourth multiple of 48 is 192.
Fifth Multiple of 48
Multiplying 48 by 5, we get the fifth multiple of 48 which is:
5 x 48 = 240
Therefore, the fifth multiple of 48 is 240.
And so on.
Formula for Finding Multiples of 48
From the above, we can see that to find the nth multiple of 48, we need to multiply 48 by n. Therefore, the formula for finding the nth multiple of 48 is:
nth Multiple of 48 = n x 48
Example 1:
Find the 10th multiple of 48.
To find the 10th multiple of 48, we substitute n = 10 in the formula above. We have:
10th Multiple of 48 = 10 x 48
= 480
Therefore, the 10th multiple of 48 is 480.
Example 2:
Find the 15th multiple of 48.
Similarly, to find the 15th multiple of 48, we substitute n = 15 in the formula above. We have:
15th Multiple of 48 = 15 x 48
= 720
Therefore, the 15th multiple of 48 is 720.
Properties of Multiples of 48
– The multiples of 48 are even numbers because 48 is an even number.
– If a number is a multiple of 48, then it is also a multiple of 2, 3, 4, 6, 8, 12, 16, and 24.
– Any number that ends with 00 is a multiple of 48.
Final Thoughts
In conclusion, the multiples of 48 are whole numbers that can be obtained by multiplying 48 by an integer. We can find any multiple of 48 using the formula, nth Multiple of 48 = n x 48. The properties of multiples of 48 include being even numbers, being a multiple of other numbers such as 2, 3, 4, 6, 8, 12, 16, and 24, and any number that ends with 00 is a multiple of 48.