# Multiples of 16

**Sixteen** is an even and composite number. In numerology, it represents someone who pursues wisdom in order to learn enough to teach and aid others.

For most countries in the United States, when someone reaches the age of 16 they usually celebrate this transition by saying that they have reached the “Sweet 16” phase. It’s a symbolic number for teens, as they now have freedom and are somewhat in adulthood. This may be the reason why the number 16 represents self-determination and confidence when it comes to their inner wisdom.

The number sixteen is significant to most people all across the world. But, for the most part, it’s about the age 16 rather than the number.

In this article, we will study how 16 on another level. Are you ready to see more of the number 16 and its multiple? Well… prepare yourselves as we will have another fun adventure!

## Multiples of 16 are 16, 32, 48, 64, 80, 96, 112

Multiples of sixteen are numbers that may be divided by sixteen without leaving any remainder. It is a sequence in which the difference between the two consecutive numbers is always 16. Multiples of 16 can be negative or positive numbers, but they cannot be fractions.

To properly define it, multiples of 16 are a product of 16 and any integer. Hence, we can express it as **16 n** where

*is a natural number. Say, for example, 32 is the 2*

**n**^{nd}multiple of 16 because it is a product of 16 and 2.

## How to find the multiples of 16?

Now that we’ve defined what it means to say a number is a multiple of 16, let’s look at how we can determine any possible multiples of 16. **Repeated addition** and **multiplication** are two methods for finding multiples of 16.

Let’s look at the table below to see how we can obtain the first five multiples of 16.

n^{th} Multiple | Repeated Addition | Multiplication |
---|---|---|

1 |
16 |
16 x 1 = 16 |

2 |
16 + 16 = 32 |
16 x 2 = 32 |

3 |
16 + 16 + 16 = 48 |
16 x 3 = 48 |

4 |
16 + 16 + 16 + 16 = 64 |
16 x 4 = 64 |

5 |
16 + 16 + 16 + 16 + 16 = 80 |
16 x 5 = 80 |

**Skip counting** or **repeated addition** is done by simply adding 16 as many times as necessary. The diagram below clearly shows how repeated addition works.

The first multiple of 16 is the number itself. Hence, we will start to skip count from 16. To get the 2^{nd} multiple of 16, we will add another 16 to 16. Thus, **16 + 16 = 32**.

The 3^{rd} multiple can be determined by adding another 16 to 32.

So, **32 + 16 = 48** which is the same as **16 + 16 + 16 = 42**.

Now, can you find the 4^{th} and 5^{th }multiple of 16 by repeated addition?

A multiple of 16 is any number that can be represented as **16 n**, where n is an integer. To determine the multiples of 16, simply multiply any natural number by 16.

For example, we are asked to get the 17^{th} multiple of 16, this can be done by simply getting the product of 16 and 17. **Thus, 16 x 17 = 272**. Therefore, the 17^{th} multiple of 16 is 272.

Similarly, if we are asked to get the negative 23^{rd} multiple of 16, by multiplication method, we will have**16 x -23 = -368**. Therefore, the negative 23^{rd} multiple of 16 is 368.

It’s so easy to learn, right?

## Did you know that…

There are three ways that we can easily determine if a large number is a multiple of 16? If we are given three-digit numbers, all we have to do is take the last two digits of the number and multiply the rest of the number by 4. The result should be divisible by 16 to say that the original number is a multiple of 16.

For example, we can use this simple trick to check if 256 is a multiple of 16. The last two digits of 256 is 56. Then, we need to multiply 2 by 4. Hence, 2 x 4 = 8. Lastly, we need to get the sum of 56 and 8.

Hence, **56 + 8 = 64**. Since 64 is divisible by 16, we can really say that 256 is a multiple of 16!

This is just one of the tricks that we can use to check if a number is multiple of 16. But this is such a wonderful technique, right?

## List of First 30 multiples of 16

We’ve listed the first 30 positive multiples of 16 to show how we can get the multiples of 16 by multiplying 16 to any positive counting number.

Product of 16 and a positive counting number | Multiples of 16 |
---|---|

16 x 1 | 16 |

16 x 2 | 32 |

16 x 3 | 48 |

16 x 4 | 64 |

16 x 5 | 80 |

16 x 6 | 96 |

16 x 7 | 112 |

16 x 8 | 128 |

16 x 9 | 144 |

16 x 10 | 160 |

16 x 11 | 176 |

16 x 12 | 192 |

16 x 13 | 208 |

16 x 14 | 224 |

16 x 15 | 240 |

16 x 16 | 256 |

16 x 17 | 272 |

16 x 18 | 288 |

16 x 19 | 304 |

16 x 20 | 320 |

16 x 21 | 336 |

16 x 22 | 352 |

16 x 23 | 368 |

16 x 24 | 384 |

16 x 25 | 400 |

16 x 26 | 416 |

16 x 27 | 432 |

16 x 28 | 448 |

16 x 29 | 464 |

16 x 30 | 480 |

You can notice that all multiples of 16 are even numbers, and the units digits are in the pattern **6, 2, 8, 4, 0**.

## Solving problems involving multiples of 16

Now, let’s try to solve some real-life involving multiples of 16!

**Problem #1**

Zane sells personalized shirts for $16 each. If he was able to sell 102 shirts, how much money did he earn selling those customized shirts?

To solve the total amount of money Zane earned by selling 102 personalized shirts, it is stated in the problem that each shirt costs $16. Hence, we are going to find the 102^{nd }multiple of 16. So, we are going to get the product of 16 and 102.

Thus, **$16 x 102 = ****$1,632.**

Therefore, Zane was able to earn a total of **$1,632** by selling shirts.

See, it’s not even hard to solve real-life problems.

Let’s try another one.

**Problem #2**

It takes 16 hours of travel time for Mirko to visit his grandparents. If Mirko visited his grandparents 35 times this year, how much time did he spend traveling?

The problem states that Mirko spends 16 hours traveling just to visit his grandparents. We are asked to get the total time he spent on traveling. Since it was clearly stated that he visited his grandparents 35 times this year, we need to get the 35^{th} multiple of 16. Hence, this can be done by getting the product of 16 and 35. So, **16 hours x 35 = 560 ****hours.**

Therefore, Mirko traveled **560 hours** in a year to visit his grandparents. What a sweet grandson he is!

## Take a quiz

Now, let’s use what we’ve learned today to answer these short questions. Are you ready?