Multiples

# What are the Multiples of 38 | All Multiples of 38 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

### What are the Multiples of 38 | All Multiples of 38 up to 1000

**The first ten multiples of 38 are presented as follows: 38, 76, 114, 152, 190, 228, 266, 304, 342, and 380.**

The multiples of 38 are a sequence of numbers that can be obtained by multiplying the number 38 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 38 is always 38.

To find the multiples of 38, you need to perform a repeated addition of the number 38 or multiply the number 38 with a sequence of natural numbers.

Alternatively, the multiples of 38 are the numbers that when divided by 38 do not leave any remainder.

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**What are the first five multiples of 38**

The multiple of 38 is a sequence of numbers that can be obtained by multiplying the number 38 with a sequence of natural numbers. Alternatively, the multiples of 38 are the numbers that when divided by 38 do not leave any remainder.

Step 1: To find the first multiple of 38, multiply 38 by 1. 38 x 1 = 38.

Step 2: To find the second multiple of 38, multiply 38 by 2. 38 x 2 = 76. Alternatively, you can add 38 to the first multiple to get the second multiple of 38. 38 + 38 = 76.

Step 3: Multiply 38 by 3 to get the third multiple of 38. 38 x 3 = 114. Alternatively, you can add 38 two times to the second multiple to get the third multiple of 38. 76 + 38 = 114.

Step 4: The fourth multiple of 38 can be found by multiplying 38 by 4. 38 x 4 = 152. Alternatively, you can add 38 three times to the third multiple to get the fourth multiple of 38. 114 + 38 = 152.

Step 5: To find the fifth multiple of 38, you need to multiply 38 by 5. 38 x 5 = 190. Alternatively, you can add 38 four times to the fourth multiple to get the fifth multiple of 38. 152 + 38 = 190.

**Therefore, the first 5 multiples of 38 are 38, 76, 114, 152, and 190**

**How to find the Multiples of 38**

To find the multiples of 38 two methods can be used. The first few multiples of 38 are listed as follows: 38, 76, 114, 152, 190, 228, and so on.

The multiples of 38 are a sequence of numbers that can be obtained by multiplying the number 38 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 38 is always 38.

**Finding multiples of 38 using the repeated addition method**

The first multiple of 38 is 38 itself. To find the second multiple of 38, we add 38 to the first multiple, which gives 76. Continuing this process, we can obtain the third, fourth, and so on multiples of 38. An example of the first five multiples of 38 using the repeated addition method is given below:

38

38 + 38 = 76

76 + 38 = 114

114 + 38 = 152

152 + 38 = 190

**Finding the multiples of 38 using the multiplication method**

To find the first five multiples of 38 using the multiplication method, we need to multiply 38 by 1, 2, 3, 4, and 5. The detailed steps are given below:

Step 1: To find the first multiple of 38, multiply 38 by 1. 38 X 1 = 38.

Step 2: To find the second multiple of 38, multiply 38 by 2. 38 X 2 = 76.

Step 3: Multiply 38 by 3 to get the third multiple of 38. 38 X 3 = 114.

Step 4: The fourth multiple of 38 can be found by multiplying 38 by 4. 38 X 4 = 152.

Step 5: To find the fifth multiple of 38, multiply 38 by 5. 38 x 5 = 190.

Hence the first 5 multiples of 38 are 38, 76, 114, 152, and 190. The multiplication method is a quick and reliable way to find multiples of any number, including 38.

**Finding the first 20 multiples of 38**

To find the first 20 multiples of 38 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 38 to find the corresponding multiples. The first 20 multiples of 38 are given below:

38 x 1 | 38 |

38 x 2 | 76 |

38 x 3 | 114 |

38 x 4 | 152 |

38 x 5 | 190 |

38 x 6 | 228 |

38 x 7 | 266 |

38 x 8 | 304 |

38 x 9 | 342 |

38 x 10 | 380 |

38 x 11 | 418 |

38 x 12 | 456 |

38 x 13 | 494 |

38 x 14 | 532 |

38 x 15 | 570 |

38 x 16 | 608 |

38 x 17 | 646 |

38 x 18 | 684 |

38 x 19 | 722 |

38 x 20 | 760 |

**What are the multiples of 38 up to 1000**

38 | 76 | 114 | 152 | 190 | 228 | 266 | 304 |

342 | 380 | 418 | 456 | 494 | 532 | 570 | 608 |

646 | 684 | 722 | 760 | 798 | 836 | 874 | 912 |

950 | 988 | – | – | – | – | – | – |

**Difference between Multiples and Factors of 38**

In mathematics multiples and factors are two very different concepts.

Multiples | Factors |

Multiples of 38 are numbers that can be obtained by multiplying 38 with other integers. In other words, a multiple of 38 is any number that can be written in form 38n, where n is an integer. For example, the first few multiples of 38 are 38, 76, 114, 152, 190, 228, 266, and 304. | Factors of 38, on the other hand, are numbers that can divide by 38 exactly without leaving a remainder. In other words, a factor of 38 is any number that divides 38 without a remainder. For example, the factors of 38 are 1, 2, 19, and 38. |

To summarize, the main difference between multiples and factors of 38 is that multiples are obtained by multiplying 38 with other integers, while factors are numbers that divide 38 exactly without leaving a remainder.

**Solved Examples for Multiples of 38**

**Example 1: What is the 5th multiple of 38?**

Solution: To find the 5th multiple of 38, we can simply multiply 38 by 5:

5 x 38 = 190

Therefore, the 5th multiple of 38 is 190.

**Example 2: Which of the following numbers is a multiple of 38: 423, 684, 190, 359?**

Solution: To check if a number is a multiple of 38, we need to see if we can divide the number by 38 and get an integer as a result. Let’s check each of the given numbers:

423 ÷ 38 = 11 remainders 5 (not a multiple of 38)

684 ÷ 38 = 18 (multiple of 38)

190 ÷ 38 = 5 (multiple of 38)

359 ÷ 38 = 9 remainder 17 (not a multiple of 38)

Therefore, the only number that is a multiple of 38 is 684.

**Example 3: What is the sum of the first 6 multiples of 38?**

Solution: To find the sum of the first 6 multiples of 38, we can add them up:

38 + 76 + 114 + 152 + 190 + 228 = 798

Therefore, the sum of the first 6 multiples of 38 is 798.

**Example 4: What is the smallest multiple of 38 that is greater than 500?**

Solution: To find the smallest multiple of 38 that is greater than 500, we can start by finding the first multiple of 38 that is greater than 500. We can do this by dividing 500 by 38 and rounding up to the nearest integer:

500 ÷ 38 = 13.157 (rounded up to 14)

So, the first multiple of 38 that is greater than 500 is 14 x 38 = 532.

Therefore, the smallest multiple of 38 that is greater than 500 is 532.

**Example 5: Is 874 a multiple of 38?**

Solution: To check if 874 is a multiple of 38, we need to see if we can divide 874 by 38 and get an integer as a result:

874 ÷ 38 = 23 remainders 20

Since we get a remainder of 20, we cannot divide 874 by 38 evenly. Therefore, 874 is not a multiple of 38.

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**FAQs on Multiples of 38**

### What are the common applications of multiples of 38 in the USA?

Multiples of 38 can be used in various applications such as timekeeping (38 minutes past the hour), music (a tempo marking of 38 beats per minute), and in some sports (e.g., some basketball leagues have a shot clock of 38 seconds).

### How do I find the multiples of 38 quickly?

To find the multiples of 38 quickly, you can simply multiply 38 by the numbers 1, 2, 3, 4, 5, and so on. Alternatively, you can add 38 to each multiple of 38 to get the next one.

### Are there any special properties of multiples of 38?

Multiples of 38 are not particularly special, but like all multiples of even numbers, they are also even. Additionally, multiples of 38 are all divisible by 2, 19, and 38.

### How can I use multiples of 38 to solve math problems?

Multiples of 38 can be used in various math problems involving multiplication, division, and factors. For example, to find the greatest common factor of 38 and 76, we can list their factors and look for the greatest common one: 38 = 1 x 2 x 19 and 76 = 1 x 2 x 2 x 19, so the greatest common factor is 2 x 19 = 38.

### What is the significance of the number 38 in the USA?

The number 38 does not have any particular significance in the USA, but it may be used in various contexts like addresses, phone numbers, or other numerically-based systems.

Written by

Prerit Jain