Multiples

# What Are the Multiples of 7? | All Multiples of 7 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

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### What Are the Multiples of 7? | All Multiples of 7 up to 1000

**Multiples of 7 **are the numbers that don’t leave any remainder when divided by 7. The number 7 has an infinite number of multiples. To find multiples of 7, we need to either use repeated addition or the multiplication method. The first 5 multiples of 7 are 7, 14, 21, 28, and 35, and the prime factorization of 7 is 1 x 7.

In this article, we will discuss everything about multiples of 7 along with solved examples. Scroll down to find out more.

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## What Are the Multiples of 7?

Any number that can be written in the 7n form, where n is an integer, is considered a 7 multiple. For example, if there are two values, a and b, where b is the multiple of a, if b=na for some integer n, In simpler words, the list of numbers that don’t leave any remainder when divided by 7 is the number of 7 multiples.

First 10 multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 62, 70 |

## How to Find Multiples of 7?

To find multiples of the number 7, we have to do repeated addition of the numeral 7 or multiply the digit 7 with a sequence of natural numbers. The steps to find 7 multiples using the repeated addition and multiplication method have been given below:

7 Multiples with Repeated Addition | 7 Multiples with Multiplication |

7 + 7 =14 | 7 X 1 = 7 |

14 + 7= 21 | 7 X 2 = 14 |

21 + 7 = 28 | 7 X 3 = 21 |

## What Are the First Twenty-7 Multiples?

Below is a table that shows 20 multiples of 7 using the multiplication method:

7 x 1 | 7 |

7 x 2 | 14 |

7 x 3 | 21 |

7 x 4 | 28 |

7 x 5 | 35 |

7 x 6 | 42 |

7 x 7 | 49 |

7 x 8 | 56 |

7 x 9 | 63 |

7 x 10 | 70 |

7 x 11 | 77 |

7 x 12 | 84 |

7 x 13 | 91 |

7 x 14 | 98 |

7 x 15 | 105 |

7 x 16 | 112 |

7 x 17 | 119 |

7 x 18 | 126 |

7 x 19 | 133 |

7 x 20 | 140 |

## What Are All the Multiples of 7 up to 1000?

Multiples of 7 up to 1000 have been tabulated below:

7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |

77 | 84 | 91 | 98 | 105 | 112 | 119 | 126 | 133 | 140 |

147 | 154 | 161 | 168 | 175 | 182 | 189 | 196 | 203 | 210 |

224 | 231 | 238 | 245 | 252 | 259 | 266 | 273 | 280 | 287 |

294 | 301 | 308 | 315 | 322 | 329 | 336 | 343 | 350 | 357 |

364 | 371 | 378 | 385 | 392 | 399 | 406 | 413 | 420 | 427 |

434 | 442 | 448 | 455 | 462 | 469 | 476 | 483 | 490 | 497 |

504 | 511 | 518 | 525 | 532 | 539 | 546 | 553 | 560 | 567 |

574 | 581 | 588 | 585 | 602 | 609 | 616 | 623 | 630 | 637 |

644 | 651 | 658 | 665 | 672 | 686 | 693 | 700 | 707 | 714 |

721 | 728 | 735 | 742 | 749 | 756 | 762 | 770 | 777 | 784 |

791 | 798 | 805 | 812 | 819 | 826 | 833 | 840 | 847 | 854 |

861 | 868 | 875 | 882 | 889 | 896 | 903 | 910 | 917 | 924 |

931 | 938 | 945 | 952 | 959 | 966 | 973 | 980 | 987 | 994 |

## Properties of Multiples of 7

Here are some properties of 7 multiples you should keep in mind:

- The smallest multiple of 7 is 7.
- 7 is a multiple of 1. 7 x 1 = 7.
- 7 has an infinite number of multiples.
- 7 has odd and even multiples.
- The multiples of the number 7 have common multiples of other numbers such as 2, 3, 4, etc.,

## Solved Examples on Multiples of 7

Below are some solved examples that often come for students:

**Question 1: How do you find multiples of 7?****Answer: **You can find them by multiplying 7 by each number in the natural order such as 1, 2, 3, 4, 5, etc.

Example:

7 x 1 = 7

7 x 2 = 14

7 x 3 = 21

**Question 2: What is the sum of the first 5 multiples of 7?****Answer: **The first 5 multiples of 7 are: 7, 14, 21, 28, and 35.

7 + 14 + 21 + 28 + 35 = 105.

Hence the sum of the first 5 multiples of 7 are 105.

**Question 3: What are the multiples of 7 between 40 and 60?****Answer:** There is a total of 3 multiples of 7 between 40 and 60.

42, 49, and 56 are the 7 multiples that fall between 40 and 60.

**Question 4: What are the first 6 multiples of 7?****Answer:** Here are the first six multiples of 7:

7 x 1 = 7.

7 x 2 = 14.

7 x 3 = 21.

7 x 4 = 28.

7 x 5 = 35.

7 x 6 = 42

Therefore the first 6 multiples of 6 are 7, 14, 21, 28, 35 and 42.

**Question 5: Is 72 a multiple of 7 yes, or no?****Answer:** No, 72 is not a 7 multiple. It is not multiple, as when divided by 7, it will leave a remainder of 2.

**Question 6: Is 119 a multiple of 7 yes, or no?Answer:** Yes, 119 is a 7 multiple, as 7 x 17 = 119.

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## FAQs on Multiples of 7

**What is the least common multiple of 6 and 7?**

42 is the least common multiple of 7. As 6 x 7 = 42 so it becomes the LCM of 6 and 7.

**What are 5 multiples of 7?**

7, 14, 21, 28, and 35 are the 5 multiples of 7.

**Are the multiples of 7 always even?**

7 multiples are not even and odd as well.

**What are the multiples of 7 up to 90?**

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, and 84 are the 7 multiples that goes up to 90.

**How many multiples does 7 have?**

7 has an infinite amount of multiples.

**The sum of three consecutive multiples of 7 is 777. Find the three numbers.**The three consecutive multiples of 7 that makes 777 are 252, 259 and 266.

7 x 36 = 252

7 x 37 = 259

7 x 38 = 266.

**Find the average of the **first 20 multiples of 7.

The sum of the first 20 multiples of 7 is =1470.

The average of the first 20 multiples of 7 is 73.5.

**Find the average of the first 10 multiples of 7.**The average of the first 10 multiples of 7 is 73.5.

**What is the average of the first five multiples of 7**?The average of the first 5 multiples of 7 is 21.

We hope that all of your questions on multiples of 7 have been answered

Written by by

Prerit Jain