Multiples of 70

In mathematics, finding multiples of a given number involves the multiplication of the given number by natural numbers. For example, finding the multiples of 70 is very simple as we just need to add 0s in the unit’s places for the multiples of 7 since 10 times 7 is 70.

We know that every number is a multiple and a factor in itself. Thus, 70 is a factor of 70, and also 70 is a multiple of 70. However, we can observe some differences between factors and multiples, which you can learn here.

What are the Multiples of 70?

The multiples of 70 are 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, etc. These multiples are obtained when we multiply 70 by 1, 2, 3, …, 10, respectively. We can observe that all these multiples form a sequence with the difference between two consecutive products equal to 70. Multiples of 70 are numbers that can be divided by 70 without a remainder. In other words, any number that can be expressed in 70n, where n is an integer, is a multiple of 70. So, 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, 420, 630, 840, and 1050 are all multiples of 70 for the following reasons.

We can also justify the above numbers using the division method:

420 ÷ 70 = 6 {remainder = 0}

630 ÷ 70 = 9 {remainder = 0}

840 ÷ 70 = 12 {remainder = 0}

1050 ÷ 70 = 15 {remainder = 0}

Hence, the numbers 420, 630, 840 and 1050 are multiples of 70.

It is possible to find the multiples through the repeated addition of a number as many times as required. Now, let’s find the first five multiples of 70 by multiplication and adding the number repeatedly, as shown below.

The first multiple of 70 is: 70 × 1 = 70

The second multiple of 70 is: 70 × 2 = 140 Or 70 + 70 = 140 {here 70 is added for twice}

The third multiple of 70 is: 70 × 3 = 210 Or 70 + 70 + 70 = 210 {here 70 is added for thrice}

The fourth multiple of 70 is: 70 × 4 = 280 Or 70 + 70 + 70 + 70 = 280

The fifth multiple of 70 is: 70 × 5 = 350 Or 70 + 70 + 70 + 70 + 70 = 350

Similarly, we can write several multiples of the given numbers.

Multiples of 70 Table

Go through the table given below to learn the first 20 multiples of 70 along with the multiplication notation for each multiple.

The above table is quite similar to the multiplication table of 7 as the results are 10 times that table.

What is a multiple and factor of 70?

There exist some differences between multiples and factors of 70 as given in the table.

Click here to learn more about factors.

Video Lesson on Common Multiples

Get the Multiples of More Numbers Here

Examples

Example 1:

What are the common multiples of 70 and 75?

Solution:

Multiples of 70 are 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, etc.

Multiples of 75 are 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, etc.

Therefore, the common multiples of 70 and 75 are 1050, 2100, and so on.

Example 2:

Write the multiples of 70 up to 1000.

Solution:

The multiples of 70 up to 1000 include the following.

70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980

To get more information about multiples and common multiples of a number, visit byjus.com and get practice with more math concepts.