# Multiples of 37

Created by: Team Maths - Examples.com, Last Updated: May 28, 2024

## Multiples of 37

In mathematics, multiples of 37 are integers that result from multiplying 37 by any whole number. These numbers are part of a sequence where each term increases by a fixed amount, specifically 37 in this case. Understanding multiples is crucial as they help in identifying divisors and factors of larger numbers. Multiples of 37 play a significant role in multiplication problems and number theory. Recognizing these patterns aids in simplifying calculations and solving various mathematical problems efficiently.

## What are Multiples of 37?

Multiples of 37 are the numbers obtained by multiplying 37 with any integer. The sequence starts as 37, 74, 111, 148, 185, and continues infinitely. These multiples can be expressed as 37n, where n is an integer.

Prime Factorization of 37: 1 x 37 First 10 Multiples of 37 are 37, 74, 111, 148, 185, 222, 259, 296, 333, 370.

Table of 37

## Important Notes

• Definition: Multiples of 37 are the products obtained when 37 is multiplied by any integer (e.g., 37, 74, 111, etc.). They follow the form 37n, where n is an integer.
• Properties: Every multiple of 37 is a result of adding 37 repeatedly. For example, the first five multiples are 37, 74, 111, 148, and 185.
• Divisibility: Any multiple of 37 is divisible by 37 without leaving a remainder. This makes 37 a factor of all its multiples.
• Sequence: The sequence of multiples of 37 increases linearly, with each subsequent multiple being 37 units greater than the previous one.
• Applications: Multiples of 37 are used in various mathematical problems and concepts, including finding common multiples, solving equations involving divisors, and understanding number patterns.

## Examples on Multiples of 37

• 1×37 = 37
• 2×37 = 74
• 3×37 = 111
• 4×37 = 148
• 5×37 = 185

• 10×37 = 370
• 20×37 = 740
• 30×37 = 1110
• 40×37 = 1480
• 50×37 = 1850

### Real-Life Examples

• Time: If a task takes 37 minutes and you do it 3 times, it takes 3×37 = 11 minutes.
• Money: If an item costs \$37 and you buy 4, it costs 4×37 = 148 dollars.
• Distance: A marathon is 42.195 kilometers, and if a runner runs 37 kilometers per day, in 3 days they run 3×37 = 111 kilometers.
• Storage: If one box can hold 37 items, and you have 5 boxes, you can store 5×37 = 185 items.
• Construction: If each floor of a building is 37 feet high, a 10-floor building is 10×37 = 370 feet high.

## Practical Examples of Multiples of 37

### What is the 15th multiple of 37?

The 15th multiple of 37 is 37×15 = 55.

### Is 481 a multiple of 37?

Yes, 481 is a multiple of 37 because 37×13 = 481.

### What is the next multiple of 37 after 444?

The next multiple of 37 after 444 is 444+37 = 4814.

### Find the 25th multiple of 37.

The 25th multiple of 37 is 37×25 = 925.

### Is 950 a multiple of 37?

No, 950 is not a multiple of 37 because it cannot be expressed as 37×n for any integer n.

## What are multiples of 37?

Multiples of 37 are numbers obtained by multiplying 37 by any integer, such as 37, 74, 111, and so on.

## How do you find the nth multiple of 37?

To find the nth multiple of 37, simply multiply 37 by n (e.g., the 5th multiple is 37 × 5 = 185).

## Are all multiples of 37 odd?

No, multiples of 37 alternate between odd and even. For example, 37 (odd), 74 (even), 111 (odd), etc.

## What is the smallest multiple of 37?

The smallest multiple of 37 is 37 itself, as it is 37 multiplied by 1.

## Is 370 a multiple of 37?

Yes, 370 is a multiple of 37 because 370 ÷ 37 equals 10, an integer.

## Can multiples of 37 be negative?

Yes, multiples of 37 can be negative if you multiply 37 by a negative integer (e.g., -37, -74, -111).

## What are common multiples of 37 and 74?

Since 74 is itself a multiple of 37 (74 = 37 × 2), any multiple of 74 will also be a multiple of 37 (e.g., 74, 148, 222).

## How do multiples of 37 relate to factors?

Multiples of 37 are numbers that 37 divides evenly, making 37 a factor of these numbers.

## Are there any shortcuts to identify multiples of 37?

No specific shortcuts exist for identifying multiples of 37; you multiply 37 by integers and check for divisibility by 37.

## Why are multiples of 37 important?

Multiples of 37 are important in various mathematical contexts, including solving equations, finding common denominators, and understanding number properties.

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