Multiples

# What are the Multiples of 37 | All Multiples of 37 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

### What are the Multiples of 37 | All Multiples of 37 up to 1000

The first ten multiples of 37 are listed as follows: 37, 74, 111, 148, 185, 222, 259, 296, 333, and 370.

The multiples of 37 are a sequence of numbers that can be obtained by multiplying the number 37 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 37 is always 37.

To find the multiples of 37, you need to perform a repeated addition of the number 37 or multiply the number 37 with a sequence of natural numbers.

Alternatively, the multiples of 37 are the numbers that when divided by 37 do not leave any remainder.

## What are the first five multiples of 37

To find the first five multiples of 37, you can follow the steps. The multiples of 37 are a sequence of numbers that can be obtained by multiplying the number 37 with a sequence of natural numbers. Alternatively, the multiples of 37 are the numbers that when divided by 37 do not leave any remainder.

Step 1: To find the first multiple of 37, multiply 37 by 1. 37 x 1 = 37.

Step 2: To find the second multiple of 37, multiply 37 by 2. 37 x 2 = 74. Alternatively, you can add 37 to the first multiple to get the second multiple of 37. 37 + 37 = 74.

Step 3: Multiply 37 by 3 to get the third multiple of 37. 37 x 3 = 111. Alternatively, you can add 37 two times to the second multiple to get the third multiple of 37. 74 + 37 = 111.

Step 4: The fourth multiple of 37 can be found by multiplying 37 by 4. 37 x 4 = 148. Alternatively, you can add 37 three times to the third multiple to get the fourth multiple of 37. 111 + 37 = 148.

Step 5: To find the fifth multiple of 37, you need to multiply 37 by 5. 37 x 5 = 185. Alternatively, you can add 37 four times to the fourth multiple to get the fifth multiple of 37. 148 + 37 = 185.

Therefore, the first 5 multiples of 37 are 37, 74, 111, 148, and 185.

## How to find the Multiples of 37

To find the multiples of 37 two methods can be used. The first few multiples of 37 are listed as follows:  37, 74, 111, 148, 185, 222, and so on. The multiples of 37 are a sequence of numbers that can be obtained by multiplying the number 37 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 37 is always 37.

### Finding multiples of 37 using the repeated addition method

We can use a similar approach to find the multiples of 37. The first multiple of 37 is 37 itself. To find the second multiple of 37, we add 37 to the first multiple, which gives 74. Continuing this process, we can obtain the third, fourth, and so on multiples of 37. An example of the first five multiples of 37 using the repeated addition method is given below:

37

37 + 37 = 74

74 + 37 = 111

111 + 37 = 148

148 + 37 = 185

### Finding the multiples of 37 using the multiplication method

To find the first five multiples of 37 using the multiplication method, we need to multiply 37 by 1, 2, 3, 4, and 5. The detailed steps are given below:

Step 1: To find the first multiple of 37, multiply 37 by 1. 37 X 1 = 37.

Step 2: To find the second multiple of 37, multiply 37 by 2. 37 X 2 = 74.

Step 3: Multiply 37 by 3 to get the third multiple of 37. 37 X 3 = 111.

Step 4: The fourth multiple of 37 can be found by multiplying 37 by 4. 37 X 4 = 148.

Step 5: To find the fifth multiple of 37, multiply 37 by 5. 37 x 5 = 185.

Hence the first 5 multiples of 37 are 37, 74, 111, 148, and 185. The multiplication method is a quick and reliable way to find multiples of any number, including 37.

## Finding the first 20 multiples of 37

To find the first 20 multiples of 37 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 37 to find the corresponding multiples. The first 20 multiples of 37 are given below:

## Difference between Multiples and Factors of 37

In mathematics multiples and factors are two very different concepts.

To summarize, multiples of 37 are the numbers that result from multiplying 37 by a natural number, while factors of 37 are the numbers that divide evenly into 37.

## Solved Examples for Multiples of 37

1. What is the fifth multiple of 37?

To find the fifth multiple of 37, we can use the multiplication method: 37 x 5 = 185. Therefore, the fifth multiple of 37 is 185.

1. Is 481 a multiple of 37?

To check if 481 is a multiple of 37, we can use the division method: 481 ÷ 37 = 13 with a remainder of 20. Since 481 leaves a remainder when divided by 37, it is not a multiple of 37.

1. What are the first three multiples of 37?

To find the first three multiples of 37, we can use the repeated addition method: 37, 37 + 37 = 74, 74 + 37 = 111. Therefore, the first three multiples of 37 are 37, 74, and 111.

1. What is the product of the third and fourth multiples of 37?

To find the third and fourth multiples of 37, we can use the multiplication method: 37 x 3 = 111 and 37 x 4 = 148. The product of these multiples is 111 x 148 = 16,428.

1. What is the smallest positive integer that is a multiple of both 37 and 42?

To find the smallest positive integer that is a multiple of both 37 and 42, we can list out their multiples until we find a common multiple:

Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962.

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966.

The smallest positive integer that appears in both lists is 1116. Therefore, 1116 is the smallest positive integer that is a multiple of both 37 and 42.

## FAQs on Multiples of 37

### What is the smallest multiple of 37?

The smallest multiple of 37 is 37 itself. This is because any number multiplied by 1 is equal to itself.

### What is the largest two-digit multiple of 37?

The largest two-digit multiple of 37 is 963. This can be found by dividing 99 by 37, which gives a quotient of 2 with a remainder of 25. The multiple of 37 that is closest to 99 without going over is 37 multiplied by the quotient, which is 74. Therefore, the largest two-digit multiple of 37 is 74 times 13, which is equal to 963.

### How do I find the multiples of 37 between two numbers?

To find the multiples of 37 between two numbers, divide the larger number by 37 and then multiply the quotient by 37. This will give you the highest multiple of 37 that is less than or equal to the larger number. Next, divide the smaller number by 37 and round up to the nearest integer. Finally, multiply this integer by 37 and you will have the lowest multiple of 37 that is greater than or equal to the smaller number. Any multiples of 37 between these two numbers can be found by adding 37 to the smaller multiple until you reach the larger multiple.

### What are some real-world applications of multiples of 37?

Multiples of 37 can be useful in a variety of situations, such as calculating interest on loans or investments, determining the frequency of events in a periodic system, or calculating the number of items needed for a given task based on a standard quantity. For example, if you have a loan with an annual interest rate of 37%, you can calculate the amount of interest you will pay over a given period by multiplying the loan amount by 0.37 and then multiplying the result by the number of years.

### Are there any special properties of multiples of 37?

Multiples of 37 do not have any particularly notable special properties beyond being divisible by 37. However, they can be used in various mathematical patterns and relationships, such as finding common multiples or applying the distributive property in algebraic equations.

Written by by

Prerit Jain

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