Multiples

# What are the Multiples of 36 | All Multiples of 36 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

### What are the Multiples of 36 | All Multiples of 36 up to 1000

**The first ten multiples of 36 are listed as follows: 36, 72, 108, 144, 180, 216, 252, 288, 324, and 360.**

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The multiples of 36 are a sequence of numbers that can be obtained by multiplying the number 36 with a sequence of natural numbers.

**The difference between any two consecutive numbers in the sequence of multiples of 36 is always 36.**

To find the multiples of 36, you need to perform a repeated addition of the number 36 or multiply the number 36 with a sequence of natural numbers.

Alternatively, the multiples of 36 are the numbers that when divided by 36 do not leave any remainder.

**What are the first five multiples of 36**

To find the multiples of 36, you need to perform a repeated addition of the number 36 or multiply the number 36 with a sequence of natural numbers. Alternatively, the multiples of 36 are the numbers that when divided by 36 do not leave any remainder.

To find the first five multiples of 36, the following steps can be followed:

Step 1: To find the first multiple of 36, multiply 36 by 1. 36 x 1 = 36.

Step 2: To find the second multiple of 36, multiply 36 by 2. 36 x 2 = 72. Alternatively, you can add 36 to the first multiple to get the second multiple of 36. 36 + 36 = 72.

Step 3: Multiply 36 by 3 to get the third multiple of 36. 36 x 3 = 108. Alternatively, you can add 36 two times to the second multiple to get the third multiple of 36. 72 + 36 = 108.

Step 4: The fourth multiple of 36 can be found by multiplying 36 by 4. 36 x 4 = 144. Alternatively, you can add 36 three times to the third multiple to get the fourth multiple of 36. 108 + 36 = 144.

Step 5: To find the fifth multiple of 36, you need to multiply 36 by 5. 36 x 5 = 180. Alternatively, you can add 36 four times to the fourth multiple to get the fifth multiple of 36. 144 + 36 = 180.

Therefore, the first 5 multiples of 36 are presented as follows 36, 72, 108, 144, and 180.

**How to find the Multiples of 36**

To find the multiples of 36 two methods can be used. The first few multiples of 36 are listed as follows: 36, 72, 108, 144, 180, 216, and so on. The multiples of 36 are a sequence of numbers that can be obtained by multiplying the number 36 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 36 is always 36.

**Finding multiples of 36 using the repeated addition method**

we can use the repeated addition method to find the multiples of 36. The first multiple of 36 is 36 itself. To find the second multiple of 36, we add 36 to the first multiple, which gives 72. Continuing this process, we can obtain the third, fourth, and so on multiples of 36. An example of the first five multiples of 36 using the repeated addition method is given below:

36

36 + 36 = 72

72 + 36 = 108

108 + 36 = 144

144 + 36 = 180

**Finding the multiples of 36 using the multiplication method**

The multiplication method can be used to find the multiples of 36. To find the first five multiples of 36 using the multiplication method, we need to multiply 36 by 1, 2, 3, 4, and 5. The detailed steps are given below:

Step 1: To find the first multiple of 36, multiply 36 by 1. 36 X 1 = 36.

Step 2: To find the second multiple of 36, multiply 36 by 2. 36 X 2 = 72.

Step 3: Multiply 36 by 3 to get the third multiple of 36. 36 X 3 = 108.

Step 4: The fourth multiple of 36 can be found by multiplying 36 by 4. 36 X 4 = 144.

Step 5: To find the fifth multiple of 36, multiply 36 by 5. 36 x 5 = 180.

**Hence the first 5 multiples of 36 are 36, 72, 108, 144, and 180. **

The multiplication method is a quick and reliable way to find multiples of any number, including 36.

**Finding the first 20 multiples of 36**

To find the first 20 multiples of 36 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 36 to find the corresponding multiples. The first 20 multiples of 36 are given below:

36 x 1 | 36 |

36 x 2 | 72 |

36 x 3 | 108 |

36 x 4 | 144 |

36 x 5 | 180 |

36 x 6 | 216 |

36 x 7 | 252 |

36 x 8 | 288 |

36 x 9 | 324 |

36 x 10 | 360 |

36 x 11 | 396 |

36 x 12 | 432 |

36 x 13 | 468 |

36 x 14 | 504 |

36 x 15 | 540 |

36 x 16 | 576 |

36 x 17 | 612 |

36 x 18 | 648 |

36 x 19 | 684 |

36 x 20 | 720 |

**What are the multiples of 36 up to 1000**

36 | 72 | 108 | 144 | 180 | 216 | 252 | 288 |

324 | 360 | 396 | 432 | 468 | 504 | 540 | 576 |

612 | 648 | 684 | 720 | 756 | 792 | 828 | 864 |

900 | 936 | 972 | – | – | – | – | – |

**Difference between Multiples and Factors of 36**

In mathematics multiples and factors are two very different concepts.

Multiples | Factors |

Multiples of a number are obtained by multiplying that number by any integer (positive, negative, or zero). For example, the multiples of 36 are obtained by multiplying 36 by any integer. | Factors of a number are the integers that divide that number exactly without leaving any remainder. For example, the factors of 36 are presented as follows 1, 2, 3, 4, 6, 9, 12, 18, and 36. |

The key difference between multiples and factors is that multiples are obtained by multiplication, while factors are obtained by division. Multiples are the numbers that can be expressed as the product of a given number and any other integer, while factors are the numbers that divide a given number exactly.

**Solved Examples for Multiples of 36**

**Find the first 6 multiples of 36.**

Solution: To find the first 6 multiples of 36, we need to multiply 36 by each of the first 6 natural numbers. Thus, we get:

36 x 1 = 36

36 x 2 = 72

36 x 3 = 108

36 x 4 = 144

36 x 5 = 180

36 x 6 = 216

Therefore, the first 6 multiples of 36 are: 36, 72, 108, 144, 180, and 216.

**What is the common factor of 36 and 72?**

Solution: 36 and 72 are both multiples of 36. Thus, 36 is a factor of both 36 and 72.

**Is 216 a multiple of 36?**

Solution: Yes, 216 is a multiple of 36. We can find this out by dividing 216 by 36. Since 216/36 = 6, 216 is a multiple of 36.

**What is the smallest multiple of 36 that is also divisible by 12?**

Solution: To find the smallest multiple of 36 that is also divisible by 12, we need to find the LCM of 36 and 12. The prime factorization of 36 is 2 x 2 x 3 x 3, while the prime factorization of 12 is 2 x 2 x 3. To find the LCM, we need to take the highest power of each prime factor: 2 x 2 x 3 x 3 = 36. Thus, the smallest multiple of 36 that is also divisible by 12 is 36.

**Find the sum of the first 7 multiples of 36.**

Solution: To find the sum of the first 7 multiples of 36, we can add the first 7 multiples of 36 together. Thus, we get

36 + 72 + 108 + 144 + 180 + 216 + 252 = 1008

Therefore, the sum of the first 7 multiples of 36 is 1008.

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**FAQs on Multiples of 36**

### How can multiples of 36 be useful in everyday life?

Multiples of 36 can be useful in various contexts such as calculating time, distance, and measurements. For example, if you are planning a road trip and want to know how many miles you will have traveled after 36, 72, or 108 minutes, you can use multiples of 36 to calculate the distances.

### What are some common applications of multiples of 36 in industries such as construction and manufacturing?

In industries such as construction and manufacturing, multiples of 36 can be used for measuring and cutting materials such as wood, metal, and concrete. For example, a piece of wood that is 36 inches long can be divided into two pieces that are 18 inches long or four pieces that are 9 inches long.

### How can knowing the multiples of 36 help in preparing for math exams or standardized tests?

Knowing the multiples of 36 can help in solving problems related to fractions, ratios, and percentages. For example, if a question asks what percentage of 360 is 36, knowing that 36 is a multiple of 36 can help you quickly determine that the answer is 10%.

### How can parents help their children understand multiples of 36?

Parents can use visual aids such as grids and charts to help their children understand multiples of 36. They can also use real-world examples such as counting objects in groups of 36, and then counting the number of groups to find the total number of objects.

### Are there any interesting facts or trivia related to multiples of 36?

One interesting fact about multiples of 36 is that they can be divided evenly by 1, 2, 3, 4, 6, 9, 12, and 18. This is because 36 is a highly composite number, meaning it has many divisors. Additionally, in the United States, the number 36 has cultural significance as it is the number of inches in one yard.

Written by

Prerit Jain