Multiples of 17

Multiples of a number are the products obtained by multiplying the given number by other natural numbers. We know that every number is a multiple and the factor of itself. Thus, 17 is a factor of 17, and also 17 is a multiple of 17. However, there is a difference between factors and multiples, which you can learn here.

The multiples of 17 are 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, etc. We can observe that it is a sequence where the difference between each next number and the preceding number, i.e. two consecutive multiples or products, is equal to 17.

What are the multiples of 17?

The multiples for 17 are the numbers that are produced when 17 is multiplied by any natural number. That means any number that can be expressed in 17n where n is an integer is a multiple of 17. For example, we have two values, p and q; we say that q is a multiple of p if q = np for some integer n.

For example, 85, 119, 187 and 255 are all multiples of 17 for the following reasons.

We can also find the multiples through the repeated addition of a number as many times as required. Let us find the first five multiples of 17 by multiplication and adding the number repeatedly, as shown below.

The first multiple of 17 is: 17 × 1 = 17

The second multiple of 17 is: 17 × 2 = 34 Or 17 + 17 = 34 {here 17 is added for twice}

The third multiple of 17 is: 17 × 3 = 51 Or 17 + 17 + 17 = 51 {here 17 is added for thrice}

The fourth multiple of 17 is: 17 × 4 = 68 Or 17 + 17 + 17 + 17 = 68

The fifth multiple of 17 is: 17 × 5 = 85 Or 17 + 17 + 17 + 17 + 17 = 85

In the same way, we can write several multiples of the given numbers.

Multiples of 17 Table

The first 20 multiples of 17 along with the multiplication notation in each case are given in the table below.

From the above table, we can say that the multiples of 17 are the results in the multiplication table of 17, as both are the same.

Odd multiples of 17 less than 100

The list of odd multiples of 17 less than 100 are 17, 51, and 85.

These multiples are written as:

17 × 1 = 17

17 × 3 = 51

17 × 5 = 85

That means, the odd multiples of 17 are obtained by multiplying 17 with odd numbers.

Multiples of 17 up to 1000

The multiples of 17 up to 1000 are:

What is a multiple and factor of 17?

Multiples of a number are the n-times of the given number. However, factors are the numbers which when multiplied together, produce the original number.

A number contains an infinite number of multiples, whereas the number of factors of a number is finite.

The multiples of 17 are 17, 34, 51, 68, 85, 102, 119, etc. The factors of 17 are 1 and 17 only since it is the prime number.

Video Lesson on Common Multiples

Get the Multiples of More Numbers Here

Examples

Example 1:

How many multiples of 17 are between 35 and 100?

Solution:

There are only 3 multiples of 17 that are between 35 and 100. They are 51, 68 and 85.

17 × 3 = 51

17 × 4 = 68

17 × 5 = 85

Example 2:

Write even multiples of 17 upto 100.

Solution:

The even multiples of 17 up to 100 include 34 and 68 only.

These multiples are obtained when we multiply 17 by even numbers 2 and 4, respectively.