# Multiples of 16

Created by: Team Maths - Examples.com, Last Updated: May 22, 2024

## Multiples of 16

In mathematics, multiples of 16 are numbers obtained by multiplying 16 by integers. These multiples are part of the broader category of integer sequences formed through multiplication. Understanding multiples involves recognizing their relationship to divisors and factors. Specifically, a multiple of 16 is any number that can be evenly divided by 16, without leaving a remainder. Multiples of 16 play a significant role in various mathematical concepts and applications, emphasizing their importance in number theory and arithmetic operations.

## What are Multiples of 16?

Multiples of 16 are numbers that result from multiplying 16 by any integer (e.g., 16, 32, 48, 64). These numbers are evenly divisible by 16 without leaving a remainder. Examples include 16, 32, and 48.

Prime Factorization of 16: 16 = 2⁴ First 10 multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160.

Table of 16

## Important Notes

Identify the Number to Test: Begin with the number you want to check if it is a multiple of 16.

Divide by 16: Perform the division of the number by 16.

Determine the Quotient and Remainder: Calculate both the quotient and the remainder from the division.

Check the Remainder: Examine the remainder. If the remainder is 0, the number is a multiple of 16. If the remainder is not 0, the number is not a multiple of 16.

Conclusion: Summarize the result. If the remainder is 0, confirm that the number is a multiple of 16. If the remainder is not 0, state that the number is not a multiple of 16.

## Examples on Multiples of 16

### Example 1: 64

• Identify the Number to Test: 64
• Divide by 16: 64 ÷ 16
• Determine the Quotient and Remainder: Quotient = 4, Remainder = 0
• Check the Remainder: Remainder is 0
• Conclusion: 64 is a multiple of 16.

### Example 2: 112

• Identify the Number to Test: 112
• Divide by 16: 112 ÷ 16
• Determine the Quotient and Remainder: Quotient = 7, Remainder = 0
• Check the Remainder: Remainder is 0
• Conclusion: 112 is a multiple of 16.

### Example 3: 256

• Identify the Number to Test: 256
• Divide by 16: 256 ÷ 16
• Determine the Quotient and Remainder: Quotient = 16, Remainder = 0
• Check the Remainder: Remainder is 0
• Conclusion: 256 is a multiple of 16.

## What is a multiple of 16?

A multiple of 16 is any number that can be evenly divided by 16 without leaving a remainder. Examples include 16, 32, 48, and 64.

## How can I determine if a number is a multiple of 16?

To determine if a number is a multiple of 16, divide it by 16. If the remainder is 0, the number is a multiple of 16.

## Is 160 a multiple of 16?

Yes, 160 is a multiple of 16. When you divide 160 by 16, the quotient is 10 and the remainder is 0.

## What are the first five multiples of 16?

The first five multiples of 16 are 16, 32, 48, 64, and 80.

## Why is 168 not a multiple of 16?

168 is not a multiple of 16 because when you divide 168 by 16, the quotient is 10 with a remainder of 8.

## Is 256 a multiple of 16?

Yes, 256 is a multiple of 16. When you divide 256 by 16, the quotient is 16 and the remainder is 0.

## Can negative numbers be multiples of 16?

Yes, negative numbers can be multiples of 16. For example, -32 and -48 are multiples of 16.

## How can I find the next multiple of 16 after 144?

To find the next multiple of 16 after 144, simply add 16 to 144. The result is 160.

## What is the greatest multiple of 16 that is less than 200?

The greatest multiple of 16 that is less than 200 is 192.

## Is there a quick way to identify multiples of 16?

A quick way to identify multiples of 16 is to check if the last four digits of the number form a multiple of 16. However, this method is more practical for larger numbers.

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