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Multiples

What Are the Multiples of 17? | All Multiples of 17 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

What Are the Multiples of 17? | All Multiples of 17 up to 1000

What Are the Multiples of 17? | All Multiples of 17 up to 1000

By multiplying 17 by an integer, one can determine the multiples of 17. Despite the fact that an integer contains all positive, negative, and zeroes, we must multiply positive natural numbers to obtain multiples of 17.

This article will cover multiples of 17, how to calculate multiples of 17, multiples of 17 up to 1000, and several examples with solutions. Scroll down to learn more.

What are the Multiples of 17?

The multiples of 17 can be defined as all the numbers that are products of multiplying 17 with a sequence of integers, only positive integers.

For example, 17 X 2= 34. Hence, 34 is the second multiple of 17. In other words, the multiples of 17 can be defined as the numbers that are completely divisible by 17. The multiples of 17 are the numbers that are divided by 17 and do not leave any remainder or leave zero as their remainder, and a natural number will remain as the quotient.

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

How To Calculate Multiples of 17?

To calculate multiples of 17, we need to either perform repated addition or multiplictaion. In the multiplication method, we will have to multiply the number 17 with natural number sequences such as 1, 2, 3, 4, and so on. In the repeated addition method, add the original number with 0, which equals the first multiple. Secondly, we will add the first multiple to the original number to get the second multiple, then add the first multiple to the second multiple to get the third multiple, then add the first multiple to the third multiple to get the fourth multiple, and so on.

Using the Multiplication Method To Find Multiples of 17

You can use the multiplication method of mathematics to calculate the multiples of 17. Here, you need to multiply a sequence of natural numbers like 1, 2, 3, 4, etc. by 17 to get the list of multiples of 17. An example of the multiples of 17 using the multiplication method is given below:

Example,
17 X 1= 17
17 X 2= 34
17 X 3= 51
17 X 4= 68
17 X 5= 85

Therefore, by using the multiplication method, we have calculated that the first five multiples of 17 are 17, 34, 51, 68, and 85.

Using the Repeated Addition Method To Find Multiples of 17

Using the repeated method to find the multiples of 17  you have to perform a series of repeated additions. For example, to calculate the first five multiples of 17, simply start by adding 17 to 0 to obtain the first multiple of 17, which is 17. Then to calculate the second multiple of 17, simply add the first multiple of 17 to 17, and the result is the second multiple of 17, which is 34, and so on. An example of the multiples of 17 using the repeated addition method is given below:

Example,
17 + 0= 17
17 + 17= 34
17 + 34= 51
17 + 51= 68
17 + 68= 85

Therefore, by using the repeated addition method, we have calculated the first five multiples of 17 which are 17, 34, 51, 68, and 85.

How To Find the First 20 Multiples of 17 Using the Multiplication Method?

The steps included in finding the first 20 multiples of 17 using the multiplication method are given below:

17×117
17×234
17×351
17×468
17×585
17×6102
17×7119
17×8136
17×9153
17×10170
17×11187
17×12204
17×13221
17×14238
17×15255
17×16272
17×17289
17×18306
17×19323
17×20340

Calculating Multiples of 17 Up to 1000

Here is a table of multiples of 17 up to 1000:

1734516885102119136153170
187204221238255272289306323340
357374391408425442459476493510
527544561578595612629646663680
697714731748765782799816833850
86788490191893595296998610031020

Properties of Multiples of 17

Here are a few properties of multiples of 17:

  • 17 is a multiple of 1. For example, 17 X 1 = 17.
  • The smallest multiple of 17 is the number 17.
  • Every multiple of seventeen is greater than or equal to the number 17.
  • The multiples of 17 can be odd or even numbers.
  • The number 17 is the sum of the first five prime numbers, and the fifth one is 17 itself.
  • There are an unlimited number of possible multiples of a number. Hence, the number 17 has an infinite number of multiples.

Solved Examples on Multiples of 17

Q 1: How to calculate the multiples of 17?
A 1:
You can find multiples of 17 either using two methods namely – Repeated Addition and Multiplication.
1. The Multiplication Method: Multiply the digits by 17 to determine multiples of that number.
Example:
17 X 1 = 17 ,
17 X 2 = 34,
17 X 3 = 51 etc.,
2. Repeated Addition: Also you can find multiples of 17 by performing repeated addition.
Example:
17 + 17 = 34,
34 + 17 = 51 etc.,.

Q 2: Find the odd multiples of 17 less than 100.
A 2: The multiples of 17 less than 100 are 17, 34, 51, 68, and 85.
Now, the odd numbers among the multiples of 17 less than 100 are 17, 51, and 85.
Therefore, there are 3 odd multiples of 17 less than 100.

Q 3: How many multiples of 17 are there up to 150?
A 3:
The multiples of 17 up to 150 are 17, 34, 51, 68, 85, 102, 119, and 136.
Therefore, there are 8 multiples of 17 up to 150.

Q 4: What are the multiples and factors of 17?
A 4: The multiples of 17 are a sequence of natural numbers that can be multiplied by 17. Since there are an infinite number of natural numbers there are also infinite multiples of 17.
The factors of 17 can be defined as the list of integers that can be split evenly into 16. So, the factors of 17 are 1, and 17.

Q 5: How to calculate the 17th multiple of 17?
A 5:
Let’s use the multiplication method to calculate the 17th multiple of 17:
17 X 17= 289
Therefore, the 17th multiple of 17 is 289.

Q 6: How many multiples of 17 are three-digit positive integers?
A 6:
There are 53 three-digit numbers that are multiples of 17.

FAQs on Multiples of 17

What are the multiples of 17 between 20 and 70?
The multiples of 17 between 20 and 70 are 34, 51, and 68.

What are the multiples of 17 up to 500?
The multiples of 17 up to 500 are:

1734516885102119136153
187204221238255272289306323
357374391408425442459476493

Find the multiples of 17 between 51 and 136.
The multiples of 17 between 51 and 136 are 51, 68, 85, 102, 119, and 136.

Find the odd multiples of 17 less than 150.
The multiples of 17 less than 100 are 17, 34, 51, 68, 85, 102, 119, and 136.
Now, the odd numbers among the multiples of 17 less than 100 are 17, 51, 85, and 119.
Therefore, there are 4 odd multiples of 17 less than 150.

What are the first five multiples of 17?
The first five multiples of 17 are 17, 34, 51, 68, and 85.

What are the least common multiples of 17 and 6?
The least common multiple is called the lowest common multiple between two numbers. So, to obtain the least common multiple of 17 and 6 we will list out the multiples of both the numbers until we find the first common multiple.
The multiples of 17 are 17, 34, 51, 68, 85, 102, 119, and 136.
The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, and 102.
Now, we have got the first common multiple of 17 and 6, which is 102.
Therefore, the least common multiple of 17 and 6 is 102.

We hope the above blog has helped with your queries regarding multiples of 17 and has added some educational value to your life.

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Prerit Jain

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