# Multiples of 35

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

## Multiples of 35

Multiples of 35 are the products obtained when 35 is multiplied by integers. These numbers form a sequence where each term is an integer multiple of 35, showcasing the relationship between multiplication and divisors. Understanding multiples helps in grasping key mathematical concepts such as factors and divisors. These multiples demonstrate how integer operations generate a series of numbers, each divisible by 35 without leaving a remainder.

## What are Multiples of 35?

Multiples of 35 are the products obtained by multiplying 35 by any integer. Examples include 35, 70, 105, 140, and so on. These numbers follow the pattern 35n, where n is any integer.

Prime Factorization of 35: 5 × 7 First 10 Multiples of 35 are 35, 70, 105, 140, 175, 210, 245, 280, 315, 350.

Table of 35

## Important Notes

### Understand Multiples:

• Multiples of a number are the products of that number with integers.
• For 35, the multiples are 35×n where n is an integer.

### First Few Multiples:

• Calculate the first few multiples to recognize the pattern: 35×1 = 35, 35×2 = 70, 35×3 = 105, and so on.

### Common Pattern:

• Observe that each multiple of 35 increases by 35: 35,70,105,140,…35, 70, 105, 140.
• General form: 35×n, where n is 1, 2, 3, etc.

### Divisibility Rule:

• A number is a multiple of 35 if it is divisible by both 5 and 7 (since 35 = 5×7).
• Check for divisibility by both 5 and 7 to confirm.

### Applications:

• Multiples of 35 can be useful in problems involving least common multiples, scheduling, and periodic events where intervals are 35 units apart.

## Examples on Multiples of 35

• 35×1 = 35
• 35×2 = 70
• 35×3 = 105

• 35×10 = 350
• 35×20 = 700
• 35×30 = 105

### Real-Life Examples

• Time: If a task takes 35 minutes to complete and you do it twice, it will take 35×2 = 70 minutes.
• Money: If an item costs 35 dollars and you buy 5 of them, the total cost will be 35×5 = 175 dollars.
• Measurements: If a field is 35 yards long and you have 4 such fields, the total length is 35×4 = 140 yards.

## Practical Examples of Multiples of 35

### What is the 15th multiple of 35?

The 15th multiple of 35 is 35×15 = 525.

### Is 350 a multiple of 35?

Yes, 350 is a multiple of 35 because 35×10 = 350.

### What is the next multiple of 35 after 315?

The next multiple of 35 after 315 is 315+35 = 350.

### Find the 25th multiple of 35.

The 25th multiple of 35 is 35×25 = 875.

### Is 780 a multiple of 35?

No, 780 is not a multiple of 35 because it cannot be expressed as 35×n for any integer n.

## What is a multiple of 35?

A multiple of 35 is any number that can be expressed as 35 times an integer. For example, 35, 70, 105, etc.

## How can I check if a number is a multiple of 35?

A number is a multiple of 35 if it is divisible by both 5 and 7, as 35 = 5×7. The number must pass both the divisibility rules for 5 (ends in 0 or 5) and 7.

## What is the smallest multiple of 35?

The smallest multiple of 35 is 35 itself (35×1 = 35).

## What is the 10th multiple of 35?

The 10th multiple of 35 is 35×10 = 350.

## Is 210 a multiple of 35?

Yes, 210 is a multiple of 35 because 35×6 = 210.

## What is the largest multiple of 35 less than 1000?

The largest multiple of 35 less than 1000 is 35×28 = 980.

## What are the first five multiples of 35?

The first five multiples of 35 are 35, 70, 105, 140, and 175.

## How do multiples of 35 relate to factors?

Multiples of 35 are produced by multiplying 35 by whole numbers (1, 2, 3, …). Factors of 35 are numbers that can be multiplied together to produce 35 (1, 5, 7, 35).

## Can a multiple of 35 be an odd number?

No, multiples of 35 cannot be odd numbers because 35 is an odd number multiplied by another integer, resulting in an odd number.

## What is the sum of the first 5 multiples of 35?

The first five multiples of 35 are 35, 70, 105, 140, and 175. The sum is 35 + 70 + 105 + 140 + 175 = 525.

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