Multiples

# What are the Multiples of 39 | All Multiples of 39 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

### What are the Multiples of 39 | All Multiples of 39 up to 1000

**The first ten multiples of 39 are presented as follows: 39, 78, 117, 156, 195, 234, 273, 312, 351, and 390.**

The multiples of 39 are a sequence of numbers that can be obtained by multiplying the number 39 with a sequence of natural numbers.

**The difference between any two consecutive numbers in the sequence of multiples of 39 is always 39.**

To find the multiples of 39, you need to perform a repeated addition of the number 39 or multiply the number 39 with a sequence of natural numbers.

Alternatively, the multiples of 39 are the numbers that when divided by 39 do not leave any remainder.

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**What are the first five multiples of 39**

The multiples of 39 are a sequence of numbers that can be obtained by multiplying the number 39 with a sequence of natural numbers.

Alternatively, the multiples of 39 are the numbers that when divided by 39 do not leave any remainder.

Here are the steps to find the multiples of 39:

Step 1: To find the first multiple of 39, multiply 39 by 1. 39 x 1 = 39.

Step 2: To find the second multiple of 39, multiply 39 by 2. 39 x 2 = 78. Alternatively, you can add 39 to the first multiple to get the second multiple of 39. 39 + 39 = 78.

Step 3: Multiply 39 by 3 to get the third multiple of 39. 39 x 3 = 117. Alternatively, you can add 39 two times to the second multiple to get the third multiple of 39. 78 + 39 = 117.

Step 4: The fourth multiple of 39 can be found by multiplying 39 by 4. 39 x 4 = 156. Alternatively, you can add 39 three times to the third multiple to get the fourth multiple of 39. 117 + 39 = 156.

Step 5: To find the fifth multiple of 39, you need to multiply 39 by 5. 39 x 5 = 195. Alternatively, you can add 39 four times to the fourth multiple to get the fifth multiple of 39. 156 + 39 = 195.

**Therefore, the first 5 multiples of 39 are 39, 78, 117, 156, and 195.**

**How to find the Multiples of 39**

To find the multiples of 39 two methods can be used. The first few multiples of 39 are listed as follows: 39, 78, 117, 156, 195, and so on. The multiples of 38 are a sequence of numbers that can be obtained by multiplying the number 39 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 39 is always 39.

**Finding multiples of 39 using the repeated addition method**

The first multiple of 39 is 39 itself. To find the second multiple of 39, we add 39 to the first multiple, which gives 78. Continuing this process, we can obtain the third, fourth, and so on multiples of 39. An example of the first five multiples of 39 using the repeated addition method is given below:

39

39 + 39 = 78

78 + 39 = 117

117 + 39 = 156

156 + 39 = 195

**Finding the multiples of 39 using the multiplication method**

o find the first five multiples of 39 using the multiplication method, we need to multiply 39 by 1, 2, 3, 4, and 5. The detailed steps are given below:

Step 1: To find the first multiple of 39, multiply 39 by 1. 39 X 1 = 39.

Step 2: To find the second multiple of 39, multiply 39 by 2. 39 X 2 = 78.

Step 3: Multiply 39 by 3 to get the third multiple of 39. 39 X 3 = 117.

Step 4: The fourth multiple of 39 can be found by multiplying 39 by 4. 39 X 4 = 156.

Step 5: To find the fifth multiple of 39, multiply 39 by 5. 39 x 5 = 195.

**Finding the first 20 multiples of 39**

First, we create the sequence of natural numbers from 1 to 20. Then, we multiply each number in the sequence by 39 to find the corresponding multiples. The first 20 multiples of 39 are given below:

39 x 1 | 39 |

39 x 2 | 78 |

39 x 3 | 117 |

39 x 4 | 156 |

39 x 5 | 195 |

39 x 6 | 234 |

39 x 7 | 273 |

39 x 8 | 312 |

39 x 9 | 351 |

39 x 10 | 390 |

39 x 11 | 429 |

39 x 12 | 468 |

39 x 13 | 507 |

39 x 14 | 546 |

39 x 15 | 585 |

39 x 16 | 624 |

39 x 17 | 663 |

39 x 18 | 702 |

39 x 19 | 741 |

39 x 20 | 780 |

**What are the multiples of 39 up to 1000**

39 | 78 | 117 | 156 | 195 | 234 | 273 | 312 |

351 | 390 | 429 | 468 | 507 | 546 | 585 | 624 |

663 | 702 | 741 | 780 | 819 | 858 | 897 | 936 |

975 | – | – | – | – | – | – | – |

**Difference between Multiples and Factors of 39**

In mathematics multiples and factors are two very different concepts.

Multiples | Factors |

Multiples of a number are numbers that result from multiplying the given number by other integers. In other words, a multiple of a number is the product of that number and another integer. For example, the multiples of 39 are 39, 78, 117, 156, and so on.. | Factors of a number are numbers that divide the given number exactly without leaving a remainder. In other words, a factor of a number is a divisor of that number. For example, the factors of 39 are 1, 3, 13, and 39, since these are the only integers that divide 39 exactly. |

So, while 39 is both a multiple and a factor of 39, other multiples and factors of 39 are not necessarily the same. For example, 78 is a multiple of 39, but it is not a factor of 39. Similarly, 13 is a factor of 39, but it is not a multiple of 39.

**Solved Examples for Multiples of 39**

**What is the 10th multiple of 39?**

To find the 10th multiple of 39, we can multiply 39 by 10:

10 x 39 = 390

Therefore, the 10th multiple of 39 is 390.

**Are 234 and 312 multiples of 39?**

To check if a number is a multiple of 39, we need to see if it is divisible by 39 without leaving any remainder.

For 234:

234 ÷ 39 = 6 with a remainder of 0

Therefore, 234 is a multiple of 39.

For 312:

312 ÷ 39 = 8 with a remainder of 0

Therefore, 312 is also a multiple of 39.

**List the first 6 multiples of 39.**

To find the first 6 multiples of 39, we can multiply 39 by each natural number from 1 to 6:

1 x 39 = 39

2 x 39 = 78

3 x 39 = 117

4 x 39 = 156

5 x 39 = 195

6 x 39 = 234

Therefore, the first 6 multiples of 39 are: 39, 78, 117, 156, 195, 234.

**What is the difference between the 7th and 8th multiples of 39?**

To find the difference between the 7th and 8th multiples of 39, we can subtract the 7th multiple from the 8th multiple:

8 x 39 = 312

7 x 39 = 273

312 – 273 = 39

Therefore, the difference between the 7th and 8th multiples of 39 is 39.

**What is the smallest multiple of 39 that is also a multiple of 13?**

To find the smallest multiple of 39 that is also a multiple of 13, we need to find the lowest common multiple (LCM) of 39 and 13.

The multiples of 39 are: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, …

The multiples of 13 are: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, …

We can see that the smallest multiple of 39 that is also a multiple of 13 is 39, which is the third multiple of 13.

Therefore, the smallest multiple of 39 that is also a multiple of 13 is 39.

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**FAQs on Multiples of 39**

### What is the significance of multiples of 39 in music?

Multiples of 39 are significant in music because a standard piano keyboard has 88 keys, which is 39 white keys and 49 black keys. The frequency of each key is a multiple of the base frequency of 39 Hz, which is the frequency of the lowest note on a piano.

### How can I use multiples of 39 in calculating time?

Multiples of 39 can be used in calculating time, such as in a 39-hour workweek or in a 39-minute workout routine.

### What are the common multiples of 39 and 45?

To find the common multiples of 39 and 45, you need to find their multiples and look for the ones that are the same. The multiples of 39 are: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, … and the multiples of 45 are: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, …

### How can I check if a number is a multiple of 39 without dividing?

To check if a number is a multiple of 39 without dividing, you need to check if the sum of its digits is a multiple of 3 and the last two digits are a multiple of 39. For example, 585 is a multiple of 39 because 5+8+5=18, which is a multiple of 3, and the last two digits are 85, which is a multiple of 39.

### How can I use multiples of 39 in calculating distance?

Multiples of 39 can be used in calculating speed and distance, such as in a speed limit of 39 miles per hour or in a 39-mile bike ride.

Written by

Prerit Jain