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Multiples

# What are the Multiples of 48 | All Multiples of 48 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

### What are the Multiples of 48 | All Multiples of 48 up to 1000

The first ten multiples of 48 are listed as follows: 48, 96, 144, 192, 240, 288, 336, 384, 432, and 480.

The multiples of 48 are a sequence of numbers that can be obtained by multiplying the number 48 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 48 is always 48.

To find the multiples of 48, you need to perform a repeated addition of the number 48 or multiply the number 48 with a sequence of natural numbers.

Alternatively, the multiples of 48 are the numbers that when divided by 48 do not leave any remainder.

## What are the first five multiples of 48

The multiples of 48 are a sequence of numbers that can be obtained by multiplying the number 48 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 48 is always 48.

Alternatively, the multiples of 48 are the numbers that when divided by 48 do not leave any remainder.

To find the multiples of 48, you need to perform a repeated addition of the number 48 or multiply the number 48 with a sequence of natural numbers.

Step 1: To find the first multiple of 48, multiply 48 by 1. 48 x 1 = 48.

Step 2: To find the second multiple of 48, multiply 48 by 2. 48 x 2 = 96. Alternatively, you can add 48 to the first multiple to get the second multiple of 48. 48 + 48 = 96.

Step 3: Multiply 48 by 3 to get the third multiple of 48. 48 x 3 = 144. Alternatively, you can add 48 two times to the second multiple to get the third multiple of 48. 96 + 48 = 144.

Step 4: The fourth multiple of 48 can be found by multiplying 48 by 4. 48 x 4 = 192. Alternatively, you can add 48 three times to the third multiple to get the fourth multiple of 48. 144 + 48 = 192.

Step 5: To find the fifth multiple of 48, you need to multiply 48 by 5. 48 x 5 = 240. Alternatively, you can add 48 four times to the fourth multiple to get the fifth multiple of 48. 192 + 48 = 240.

Therefore, the first 5 multiples of 48 are 48, 96, 144, 192, and 240.

## How to find the Multiples of 48

To find the multiples of 48 two methods can be used. The first few multiples of 48 are listed as follows: 48, 96, 144, 192, 240, and so on. The multiples of 48 are a sequence of numbers that can be obtained by multiplying the number 48 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 48 is always 48.

### Finding multiples of 48 using the repeated addition method

The first multiple of 48 is 48 itself. To find the second multiple of 48, we add 48 to the first multiple, which gives 96. Continuing this process, we can obtain the third, fourth, and so on multiples of 48. An example of the first five multiples of 48 using the repeated addition method is given below:

48

48 + 48 = 96

96 + 48 = 144

144 + 48 = 192

192 + 48 = 240

### Finding the multiples of 48 using the multiplication method

We can find the multiples of 48 by multiplying 48 with a sequence of natural numbers. For example, the first five multiples of 48 obtained by multiplying 48 with a sequence of natural numbers are:

## Finding the first 20 multiples of 48

To find the first 20 multiples of 48 using the multiplication method, we can follow similar steps as above. First, we create the sequence of natural numbers from 1 to 20. Then, we multiply each number in the sequence by 48 to find the corresponding multiples. The first 20 multiples of 48 are given below:

## Difference between Multiples and Factors of 48

In mathematics multiples and factors are two very different concepts.

In summary, multiples of 48 are the products of 48 and any natural number, while factors of 48 are the numbers that divide 48 exactly without leaving a remainder.

## Solved Examples for Multiples of 48

1. Find the first 5 multiples of 48.

Solution: To find the first 5 multiples of 48, we can simply multiply 48 by each of the first 5 positive integers:

48 x 1 = 48

48 x 2 = 96

48 x 3 = 144

48 x 4 = 192

48 x 5 = 240

Therefore, the first 5 multiples of 48 are 48, 96, 144, 192, and 240.

1. What is the smallest multiple of 48 that is greater than 500?

Solution: To find the smallest multiple of 48 that is greater than 500, we can divide 500 by 48 and take the next integer value.

500 ÷ 48 = 10 remainder 20

The next integer value is 11. So, we can multiply 48 by 11 to get the smallest multiple of 48 that is greater than 500.

48 x 11 = 528

Therefore, the smallest multiple of 48 that is greater than 500 is 528.

1. Find the common factors of 48 and 96.

Solution: To find the common factors of 48 and 96, we can factor both numbers and find their common factors.

The prime factorization of 48 is 2 x 2 x 2 x 2 x 3, and the prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3.

Therefore, the common factors of 48 and 96 are 2, 2, 2, and 3, which means their greatest common factor (GCF) is 2 x 2 x 2 x 3 = 24.

1. Is 1452 a multiple of 48?

Solution: To check if 1452 is a multiple of 48, we need to divide 1452 by 48 and see if the result is a whole number.

1452 ÷ 48 = 30 remainder 12

Since the remainder is not 0, 1452 is not a multiple of 48.

1. Express 720 as a product of its prime factors in terms of multiples of 48.

Solution: To express 720 as a product of its prime factors, we can factor it into its prime factors and use the prime factors of 48 to represent those factors in terms of multiples of 48.

720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

The prime factorization of 48 is 2 x 2 x 2 x 2 x 3, so we can write:

720 = (2 x 2 x 2 x 2 x 3) x (2 x 3 x 5) = 16 x 30

Therefore, 720 can be expressed as a product of its prime factors in terms of multiples of 48 as 16 x 30.

## FAQs on Multiples of 48

### What is the significance of the number 48 in US history?

The number 48 is significant in US history because it represents the number of states that made up the United States from 1912 to 1959, before Alaska and Hawaii joined the Union. It is also the number of electoral votes that the state of California has in presidential elections.

### What is the largest US bill that is a multiple of 48?

The largest US bill that is a multiple of 48 is the \$48 bill. However, there is no such bill in circulation. The US Treasury only produces bills in denominations of \$1, \$2, \$5, \$10, \$20, \$50, and \$100.

### Are there any notable events or celebrations that occur on multiples of 48 in the US?

There are no major events or celebrations that occur on multiples of 48 in the US, although some individuals may choose to celebrate their 48th wedding anniversary.

### What are some common multiples of 48 in the US measurement system?

In the US measurement system, common multiples of 48 include 48 inches (equal to 4 feet), 96 inches (equal to 8 feet), and 144 inches (equal to 12 feet). In terms of weight, common multiples of 48 include 48 pounds, 96 pounds, and 144 pounds.

### What is the significance of the number 48 in mathematics and science?

In mathematics, the number 48 is a composite number, which means it can be divided by factors other than 1 and itself. It is also a highly composite number, which means it has more factors than any smaller positive integer. In science, the number 48 has no specific significance or use

Written by

Prerit Jain

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