Multiples

# What are the Multiples of 51 | All Multiples of 51 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

### What are the Multiples of 51 | All Multiples of 51 up to 1000

**The first ten multiples of 51 are listed as follows: 51, 102, 153, 204, 255, 306, 357, 408, 459, and 510.**

The multiples of 51 are a sequence of numbers that can be obtained by multiplying the number 51 with a sequence of natural numbers.

**The difference between any two consecutive numbers in the sequence of multiples of 51 is always 51.**

To find the multiples of 51, you need to perform a repeated addition of the number 51 or multiply the number 51 with a sequence of natural numbers.

Alternatively, the multiples of 51 are the numbers that when divided by 51 do not leave any remainder.

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**What are the first five multiples of 51**

51, 102, 153, 204, and 255 are the first five multiples of 51.

The multiples of 51 are a sequence of numbers that can be obtained by multiplying the number 51 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 51 is always 51.

To find the multiples of 51, you need to perform a repeated addition of the number 51 or multiply the number 51 with a sequence of natural numbers.

Step 1: To find the first multiple of 51, multiply 51 by 1. 51 x 1 = 51.

Step 2: To find the second multiple of 51, multiply 51 by 2. 51 x 2 = 102. Alternatively, you can add 51 to the first multiple to get the second multiple of 51. 51 + 51 = 102.

Step 3: Multiply 51 by 3 to get the third multiple of 51. 51 x 3 = 153. Alternatively, you can add 51 two times to the second multiple to get the third multiple of 51. 102 + 51 = 153.

Step 4: The fourth multiple of 51 can be found by multiplying 51 by 4. 51 x 4 = 204. Alternatively, you can add 51 three times to the third multiple to get the fourth multiple of 51. 153 + 51 = 204.

Step 5: To find the fifth multiple of 51, you need to multiply 51 by 5. 51 x 5 = 255. Alternatively, you can add 51 four times to the fourth multiple to get the fifth multiple of 51. 204 + 51 = 255.

**Therefore, the first five multiples of 51 are listed as follows: 51, 102, 153, 204, and 255.**

**How to find the Multiples of 51**

To find the multiples of 51 two methods can be used. The first few multiples of 51 are listed as follows: 51, 102, 153, 204, 255, and so on. The multiples of 51 are a sequence of numbers that can be obtained by multiplying the number 50 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 51 is always 51.

**Finding multiples of 51 using the repeated addition method**

The first multiple of 51 is 51 itself. To find the second multiple of 51, we add 51 to the first multiple, which gives 102. Continuing this process, we can obtain the third, fourth, and so on multiples of 51. An example of the first five multiples of 51 using the repeated addition method is given below:

51

51 + 51 = 102

102 + 51 = 153

153 + 51 = 204

204 + 51 = 255

**Finding the multiples of 51 using the multiplication method**

We can obtain the multiples of 51 by multiplying 51 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 51 is always 51. The first five multiples of 51 are

51 x 1 | 51 |

51 x 2 | 102 |

51 x 3 | 153 |

51 x 4 | 204 |

51 x 5 | 255 |

**Finding the first 20 multiples of 51**

To find the first 20 multiples of 51 using the multiplication method, we can follow similar steps as above. First, we create the sequence of natural numbers from 1 to 20. Then, we multiply each number in the sequence by 51 to find the corresponding multiples. The first 20 multiples of 51 are given below:

51 x 1 | 51 |

51 x 2 | 102 |

51 x 3 | 153 |

51 x 4 | 204 |

51 x 5 | 255 |

51 x 6 | 306 |

51 x 7 | 357 |

51 x 8 | 408 |

51 x 9 | 459 |

51 x 10 | 510 |

51 x 11 | 561 |

51 x 12 | 612 |

51 x 13 | 663 |

51 x 14 | 714 |

51 x 15 | 765 |

51 x 16 | 816 |

51 x 17 | 867 |

51 x 18 | 918 |

51 x 19 | 969 |

51 x 20 | 1020 |

**What are the multiples of 51 up to 1000**

51 | 102 | 153 | 204 | 254 | 306 | 357 | 408 |

459 | 510 | 561 | 612 | 663 | 714 | 765 | 816 |

867 | 918 | 969 | – | – | – | – | – |

– | – | – | – | – | – | – | – |

**Difference between Multiples and Factors of 51**

In mathematics multiples and factors are two very different concepts.

Multiples | Factors |

Multiples of 51 are all the numbers that can be obtained by multiplying 51 with another natural number. The first few multiples of 51 are 51, 102, 153, 204, 255, and so on. In other words, 102 is a multiple of 51 because it is obtained by multiplying 51 with 2, and 153 is a multiple of 51 because it is obtained by multiplying 51 with 3, and so on. | Factors of 51 are all the numbers that divide 51 exactly without leaving a remainder. The factors of 51 are listed as follows 1, 3, 17, and 51. In other words, 1 and 51 are factors of 51 because they divide 51 exactly without leaving a remainder, and 3 and 17 are factors of 51 because they multiply together to give 51. |

In summary, the multiples of 51 are obtained by multiplying 51 with natural numbers, while the factors of 51 are numbers that divide 51 exactly without leaving a remainder.

**Solved Examples for Multiples of 51**

**What is the 6th multiple of 51?**

Solution: To find the 6th multiple of 51, we can simply multiply 51 by 6. Therefore, the 6th multiple of 51 is 51 x 6 = 306.

**Which number is a common multiple of 51 and 85?**

Solution: To find a common multiple of 51 and 85, we can list out the multiples of each number and look for a common value. The first few multiples of 51 are: 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561… The first few multiples of 85 are: 85, 170, 255, 340, 425, 510, 595, 680, 765, 850, 935… The first common multiple we see is 255, so that is our answer.

**Is 918 a multiple of 51?**

Solution: To determine whether 918 is a multiple of 51, we need to check if 918 is divisible by 51. To do this, we can divide 918 by 51 using long division or a calculator. We get:

918/51 will give us the quotient as 18 and the remainder will be 0 because 51 will completely divide 918 18 times.

Since 918 divides evenly by 51, we can conclude that 918 is a multiple of 51.

**What is the smallest multiple of 51 that is also a multiple of 85?**

Solution: To find the smallest multiple of 51 that is also a multiple of 85, we can list out the multiples of each number and look for a common value. The first few multiples of 51 are: 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561… The first few multiples of 85 are: 85, 170, 255, 340, 425, 510, 595, 680, 765, 850, 935… The first common multiple we see is 255, which is the third multiple of both 51 and 85. Therefore, the smallest multiple of 51 that is also a multiple of 85 is 255.

**What is the sum of the first 10 multiples of 51?**

Solution: To find the sum of the first 10 multiples of 51, we can use the formula for the sum of an arithmetic sequence: S = n/2 (a1 + an), where S is the sum, n is the number of terms, a1 is the first term, and an is the nth term. Here, we have n = 10, a1 = 51, and an = 510. Substituting these values into the formula, we get:

S = 10/2 (51 + 510)

= 5 x 561

= 2805

Therefore, the sum of the first 10 multiples of 51 is 2805.

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**FAQs on Multiples of 51**

### Is 51 a multiple of 3?

Yes, 51 is a multiple of 3, as it can be divided by 3 without any remainder.

### What is the smallest multiple of 51?

The smallest multiple of 51 is 51 itself.

### What is the sum of first 10 multiples of 51?

The sum of the first 10 multiples of 51 can be found by adding the first 10 multiples together. The first 10 multiples of 51 are: 51, 102, 153, 204, 255, 306, 357, 408, 459, 510. Adding these numbers gives us a total of 2,745.

### What are the common multiples of 51 and 68?

The common multiples of 51 and 68 are the numbers that are multiples of both 51 and 68. To find the common multiples, you can list out the multiples of each number and look for numbers that appear in both lists. The common multiples of 51 and 68 are: 102, 204, 306, 408, 510, and so on.

### How do you determine if a number is a multiple of 51?

To determine if a number is a multiple of 51, you can divide the number by 51. If the result is a whole number, then the number is a multiple of 51.

Written by by

Prerit Jain