# Multiples of 43

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

## Multiples of 43

In mathematics, multiples of a number are the products obtained when that number is multiplied by integers. Specifically, multiples of 43 are the results of multiplying 43 by any integer. These numbers play a crucial role in understanding various concepts such as factors, divisors, and number patterns. Multiplication helps in generating these multiples, making it easier to identify common divisors and solve problems involving integer arithmetic. Understanding multiples is essential for grasping the foundational principles of mathematics and number theory.

## What are Multiples of 43?

Multiples of 43 are numbers obtained by multiplying 43 by any integer, such as 43, 86, 129, and so on. These numbers can be expressed as 43n, where n is an integer. They are crucial in understanding various mathematical concepts like factors, divisors, and number patterns.

Prime Factorization of 43: 1 x 43 First 10 Multiples of 43 are 43, 86, 129, 172, 215, 258, 301, 344, 387, 430.

Table of 43

## Important Notes

• Definition: Multiples of 43 are numbers that can be expressed as 43 multiplied by an integer (n), i.e., 43n.
• Sequence: The sequence of multiples of 43 starts as 43, 86, 129, 172, and continues indefinitely, increasing by 43 each time.
• Common Factors: Each multiple of 43 shares 43 as a common factor, making it divisible by 43 without leaving a remainder.
• Odd and Even: Since 43 is an odd number, its multiples alternate between odd and even numbers (e.g., 43 is odd, 86 is even).
• Applications: Understanding multiples of 43 is useful in various mathematical problems, including least common multiples, greatest common divisors, and solving equations involving multiples.

## Examples on Multiples of 43

#### Simple Multiples

• 43: 43×1 = 43
• 86: 43×2 = 86
• 129: 43×3 = 129

#### Larger Multiples

• 430: 43×10 = 430
• 860: 43×20 = 860
• 1720: 43×40 = 1720

#### Real-Life Examples

• Travel Distance: If a car travels 43 miles per hour, then in 20 hours it would travel 43×20 = 860 miles.
• Cost Calculation: If an item costs \$43, then the cost of buying 15 such items is 43×15 = 645 dollars.
• Work Hours: If an employee works 43 hours per week, then in 4 weeks, they would have worked 43×4 = 172 hours.

#### Practical Examples of Multiples of 43

What is the 15th multiple of 43?

The 15th multiple of 43 is 43×15 = 645.

Is 430 a multiple of 43?

Yes, 430 is a multiple of 43 because 43×10 = 430.

What is the next multiple of 43 after 86?

The next multiple of 43 after 86 is 86+43 = 129.

Find the 25th multiple of 43.

The 25th multiple of 43 is 43×25 = 1075.

Is 1936 a multiple of 43?

Yes, 1936 is a multiple of 43 because 43×45 = 1935, but it’s not exactly correct. The nearest multiple would be 43×45.

## What is a multiple of 43?

A multiple of 43 is any number that can be expressed as 43 times an integer (n), such as 43, 86, 129, etc.

## How can I find the first 5 multiples of 43?

The first 5 multiples of 43 are found by multiplying 43 by the first five positive integers: 43, 86, 129, 172, and 215.

## Are all multiples of 43 odd?

No, multiples of 43 alternate between odd and even numbers. For example, 43 is odd, 86 is even, 129 is odd, and so on.

## Is 430 a multiple of 43?

Yes, 430 is a multiple of 43 because it can be expressed as 43 x 10.

## What is the least common multiple (LCM) of 43 and 5?

The LCM of 43 and 5 is 215, which is the smallest number that is a multiple of both 43 and 5.

## Can a multiple of 43 be a prime number?

No, multiples of 43 cannot be prime because they have at least three divisors: 1, 43, and the multiple itself.

## How can I verify if a number is a multiple of 43?

To verify if a number is a multiple of 43, divide the number by 43. If the result is an integer with no remainder, then it is a multiple of 43.

## What is the 10th multiple of 43?

The 10th multiple of 43 is 430, calculated by multiplying 43 by 10.

## How are multiples of 43 used in real life?

Multiples of 43 can be used in various applications such as scheduling, dividing resources evenly, and solving mathematical problems involving factors and divisors.

## Are multiples of 43 infinite?

Yes, there are infinitely many multiples of 43, as you can always find a new multiple by multiplying 43 by the next integer.

Text prompt