# Multiples of 34

Created by: Team Maths - Examples.com, Last Updated: May 27, 2024

## Multiples of 34

In mathematics, multiples of 34 are numbers that can be obtained by multiplying 34 with any integer. These numbers are the result of the multiplication of 34 with whole numbers such as 1, 2, 3, and so on. Each multiple of 34 can also be described as having 34 as one of its factors or divisors. Understanding multiples is fundamental to grasping more complex concepts in number theory and arithmetic.

## What are Multiples of 34?

Multiples of 34 are the products obtained by multiplying 34 by any integer. Examples include 34, 68, 102, 136, and so on. These numbers follow the pattern 34n, where n is any integer.

Prime Factorization of 34: 2 x 17 First 10 Multiples of 34 are 34, 68, 102, 136, 170, 204, 238, 272, 306, 340.

Table of 34

## Important Notes

Definition: Multiples of 34 are the products of 34 and any integer. For example, 34, 68, 102, 136, etc.

Pattern: The sequence of multiples of 34 increases by 34 each time. If n is an integer, then the n-th multiple of 34 is 34×n.

Common Properties:

• All multiples of 34 are even numbers because 34 itself is even.
• If a number is a multiple of 34, it is also a multiple of 2 and 17, since 34 = 2 × 17.

Divisibility:

• A number is a multiple of 34 if it can be evenly divided by 34 without a remainder.
• To check if a large number is a multiple of 34, you can divide the number by 34 and see if the quotient is an integer.

Applications: Multiples of 34 can be used in various mathematical problems, including finding common multiples, solving least common multiple (LCM) problems, and understanding number patterns and sequences.

## Examples on Multiples of 34

• 34 × 2 = 68
• 34 × 3 = 102
• 34 × 4 = 136

• 34 × 5 = 170

34 × 6 = 204

### Real-Life Examples

• Age: If you have a family with 34 members, then the total age of 6 members is a multiple of 34, e.g., 34 × 6 = 204.
• Money: Suppose you have a currency denomination where each bill is 34 units. If you have 10 such bills, the total is 34 × 10 = 340.
• Time: In an event that lasts 34 minutes, if repeated 5 times, the total time spent is a multiple of 34, e.g., 34 × 5 = 170.

## Practical Examples of Multiples of 34

### What is the 10th multiple of 34?

The 10th multiple of 34 is 34 × 10 = 340.

### Is 238 a multiple of 34?

Yes, 238 is a multiple of 34 because 34 × 7 = 238.

### What is the next multiple of 34 after 204?

The next multiple of 34 after 204 is 204 + 34 = 238.

### Find the 15th multiple of 34.

The 15th multiple of 34 is 34 × 15 = 510.

### Is 73 a multiple of 34?

No, 73 is not a multiple of 34 because it cannot be expressed as 34 × n, where n is an integer.

## What is a multiple of 34?

A multiple of 34 is any number that can be expressed as 34 times an integer, such as 34, 68, 102, etc.

## How can you determine if a number is a multiple of 34?

To determine if a number is a multiple of 34, divide the number by 34. If the result is an integer, the number is a multiple of 34.

## What are the first five multiples of 34?

The first five multiples of 34 are 34, 68, 102, 136, and 170.

## The first five multiples of 34 are 34, 68, 102, 136, and 170.

Yes, 204 is a multiple of 34 because 34×6 = 204.

## What is the 10th multiple of 34?

The 10th multiple of 34 is 34×10 = 340.

## Are all multiples of 34 even numbers?

Yes, since 34 is an even number, all of its multiples are also even numbers.

## What is the least common multiple (LCM) of 34 and 51?

The least common multiple of 34 and 51 is 34×51 / GCD(34, 51) = 34×51 / 17 = 102.

## How do you find the common multiples of 34 and another number?

To find the common multiples of 34 and another number, calculate the least common multiple (LCM) of the two numbers.

## Can a multiple of 34 be a prime number?

No, a multiple of 34 cannot be a prime number because it is divisible by 34 and thus has at least three divisors: 1, 34, and itself.

## What is the next multiple of 34 after 340?

The next multiple of 34 after 340 is 340+34 = 374.

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