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Multiples of 17

Multiples of 17 are obtained by multiplying 17 with the integers. Also, Do you know that 17 is the sum of the first four prime numbers, and the fifth one being 17 itself? In this mini-lesson, we will calculate the multiples of 17, and interesting facts about these multiples.

First five multiples of 17: 17, 34, 51, 68, and 85
Prime Factorization of 17: 17 = 17¹

1.	What Are the Multiples of 17?
2.	First 20 Multiples of 17
3.	Important Notes
4.	Challenging Questions
5.	FAQs on Multiples of 17

What are the Multiples of 17?

The multiples of 17 are the products obtained on multiplying the number 17 with other numbers. If we want the third multiple of 17, we can multiply 17 by 3 and get the multiple as 51.

The first multiple of 17 = 17 × 1= 17
The 12th multiple of 17 = 17 × 12= 204
The 100th multiple of 17 = 17 × 100 = 1700

Below you can see the first 10 multiples of 17:

First 10 multiples of 17

List of First 20 Multiples of 17

Now we will find the first 20 multiples of 17 by multiplying 17 by each of the natural numbers from 1 to 20. Since multiplication is repeated addition, once we find the first multiple, we can add 17 to it to get another multiple and we can keep adding 17 to get the successive multiples.

Multiples of 17
17 × 1 = 17
17 × 2 = 34
17 × 3 = 51
17 × 4 = 68
17 × 5 = 85
17 × 6 = 102
17 × 7 = 119
17 × 8 = 136
17 × 9 = 153
17 × 10 = 170
17 × 11 = 187
17 × 12 = 204
17 × 13 = 221
17 × 14 = 238
17 × 15 = 255
17 × 16 = 272
17 × 17 = 289
17 × 18 = 306
17 × 19 = 323
17 × 20 = 340

To understand the concept of finding multiples, let us take a few more examples.

Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, 100
Multiples of 10 - The first five multiples of 10 are 10, 20, 30, 40, and 50.
Multiples of 18 - The first five multiples of 18 are 18, 36, 54, 72, 90
Multiples of 12 - The first five multiples of 12 are 12, 24, 36, 48, 60
Multiples of 14 - The first five multiples of 14 are 14, 28, 42, 56, and 70.

Important Notes:

The first multiple of every number is the number itself 17 × 1 = 17
All the multiples of 17 are multiples of the factors of 17, that is, 1 and 17
The multiples of 17 can be even numbers or odd numbers.

Challenging Questions:

List all the multiples of 17 that are 3 digit numbers.
Jason wants to buy erasers and pencils. The store sells erasers in packs of 4 and the pencils in packs of 8. If he wishes to buy the same number of erasers and pencils, what is the minimum number of erasers can he buy?

Example 1: Sheryl decides to make packs of pencils one by one in such a way that there are 17 pencils in the first pack, 34 in the second, 51 in the third, and so on. How many pencils would she need to make the 27th pack?

Solution:

In the 1st pack, Sheryl needs = 17 pencils.
In the 2nd pack, she needs = 34 pencils.
In the 3rd pack she needs = 51 pencils
We can observe pattern of packs of pencils follows multiples of 17.
Thus, for 27th pack she needs= 27 × 17 = 459 pencils
Hence, Sheryl will have 459 pencils in the 27th pack
Example 2: Margot has collected coins from 9 different countries. She has collected 17 coins from each country. How many coins does she have?

Solution:

Margot has visited 9 countries and she has 17 coins from each country.
Therefore, the total number of coins with Margot is = 17 × 9 = 153.
Hence, Margot has 153 coins.

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FAQs on Multiples of 17

What are the multiples of 17?

The multiples of 17 are obtained by finding the product of 17 with any integer. The first 5 multiples of 17 are 17, 34, 51, 68, and 85.

What is the 6th multiple of 17?

17 × 6 = 102. The 6th multiple of 17 is 102.

What are the first ten multiples of 17?

The first ten multiples of 17 are 17, 34, 51, 68, 85, 102, 119, 136, 153 and 170.

Are all multiples of 17 even?

No, all the multiples of 17 are not even. Some multiples of 17 are even and some are odd.
For example, 17 × 1 = 17, 17 is odd number
17 × 2 = 34, 34 is even number

Are all the multiples of 7, multiples of 17 also?

No, all the multiples of 7 are not multiples of 17.

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