# 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 of 7 is 70.

We know that every number is a multiple and the factor of 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, …, 70, 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, 1050 are all multiples of 70 for the following reasons.

 70 × 6 = 420 70 multiplied by 6 to get 420 70 × 9 = 630 70 multiplied by 9 to get 630 70 × 12 = 840 70 multiplied by 12 to get 840 70 × 15 = 1050 70 multiplied by 15 to get 1050

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

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.

 Multiplication of 70 with numbers Multiples of 70 70 × 1 70 70 × 2 140 70 × 3 210 70 × 4 280 70 × 5 350 70 × 6 420 70 × 7 490 70 × 8 560 70 × 9 630 70 × 10 700 70 × 11 770 70 × 12 840 70 × 13 910 70 × 14 980 70 × 15 1050 70 × 16 1120 70 × 17 1190 70 × 18 1260 70 × 19 1330 70 × 20 1400

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

 Multiples of 70 Factors of 70 Multiples of a number are the n-times of the given number. Thus, multiples of 70 are in the form of 70n, where n is a natural number. Factors are the numbers which when multiplied together, produce the original number. Multiples of 70 are infinite. The number 70 has a finite number of factors, i.e. 8 factors. Multiples of 70 are 70, 140, 210, 280, 350, 420, etc. Factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.

### 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

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## Frequently Asked Questions on Multiples of 70

### What are the first 5 multiples of 70?

The first 5 multiples of 70 are 70, 140, 210, 280 and 350.

### What gives you 70 in multiplication?

The factor pairs of 70 gives 70 in multiplication such as:
1 × 70 = 70
2 × 35 = 70
5 × 14 = 70
7 × 10 = 70

### What are the factors of 70?

The factors of 70 are 1, 2, 5, 7, 10, 14, 35 and 70.

### How do you find the multiples of 70?

We can find the multiples of 70 by multiplying 70 by natural numbers such as 1, 2, 3, 4, 5, etc. This can be done as follows:
70 × 1 = 70
70 × 2 = 140
70 × 3 = 210
70 × 4 = 280
70 × 5 = 350 and so on.
Here, 70, 140, 210, 280,… are the multiples of 70.

### How do you write multiples of 70 in pairs?

Unlike factor pairs, we can write the multiples of 70 in pairs as given below:
70 × 1 = 70; (70, 1)
70 × 2 = 140; (70, 2)
70 × 3 = 210; (70, 3)
70 × 4 = 280; (70, 4)
70 × 5 = 350; (70, 5)