Multiples of 49

Created by: Team Maths - Examples.com, Last Updated: May 29, 2024

Multiples of 49

Multiples of 49 are numbers that result from multiplying 49 by any integer. These multiples are part of the larger set of integers and play a crucial role in understanding number theory, specifically in the context of multiplication. In mathematics, identifying multiples helps in determining factors and divisors of a given number. For instance, some initial multiples of 49 include 49, 98, 147, and 196, each being the product of 49 and a positive integer. Studying multiples aids in grasping the relationship between numbers, their divisors, and their common factors.

What are Multiples of 49?

Multiples of 49 are numbers that result from multiplying 49 by any integer. They are part of the arithmetic sequence 49, 98, 147, and so on. Each multiple has 49 as a factor and is divisible by 49.

Prime Factorization of 49: 7 x 7 First 10 Multiples of 49 are 49, 98, 147, 196, 245, 294, 343, 392, 441, 490.

Table of 49

Important Notes

Definition

Multiples of 49 are numbers that can be expressed as 49 times any integer (e.g., 49, 98, 147).

Sequence

The sequence of multiples of 49 begins with 49, 98, 147, 196, 245, and continues infinitely by adding 49 repeatedly.

Divisibility

Any multiple of 49 is divisible by both 49 and its factors, such as 1, 7, and 49.

Calculation

To find the nth multiple of 49, multiply 49 by n (e.g., the 5th multiple of 49 is 49 x 5 = 245).

Patterns

Multiples of 49 do not follow a simple ending pattern like multiples of 10 or 5, but they increase by 49 each time, forming a regular arithmetic sequence.

Examples on Multiples of 49

Simple Multiples of 49

• 49: 49×1 = 49
• 49 times 1 is equal to 49.
• 98: 49×2 = 98
• 49 times 2 is equal to 98.
• 147: 49×3 = 147
• 49 times 3 is equal to 147.

Larger Multiples of 49

• 490: 49×10 = 490
• 49 times 10 is equal to 490.
• 980: 49×20 = 980
• 49 times 20 is equal to 980.

Real-Life Examples of Multiples of 49

Sports: 49ers

• Example: The San Francisco 49ers football team gets its name from the year 1849, significant to the California Gold Rush.

Education: 49 Students

• Example: A class with 49 students is a multiple of 49 because it is 49×1.

Time: 49 Days

• Example: A period of 49 days is a multiple of 49 because it is 49×1.

Practical Examples of Multiples of 49

What is the 15th multiple of 49?

• The 15th multiple of 49 is 49×15 = 735.

Is 294 a multiple of 49?

• Yes, 294 is a multiple of 49 because 49×6 = 294.

What is the next multiple of 49 after 441?

• The next multiple of 49 after 441 is 441 + 49 = 490.

Find the 25th multiple of 49.

• The 25th multiple of 49 is 49×25 = 1225.

Is 353 a multiple of 49?

• No, 353 is not a multiple of 49 because it cannot be expressed as 49×n for any integer n.

What is a multiple of 49?

A multiple of 49 is a number that can be expressed as 49 times an integer. For example, 49, 98, 147, and 196 are all multiples of 49.

How do you find the multiples of 49?

To find multiples of 49, multiply 49 by any integer. For instance, 49 × 1 = 49, 49 × 2 = 98, 49 × 3 = 147, and so on.

What is the 5th multiple of 49?

The 5th multiple of 49 is 49 × 5 = 245.

Is 343 a multiple of 49?

Yes, 343 is a multiple of 49 because 49 × 7 = 343.

What is the smallest multiple of 49?

The smallest multiple of 49 is 49 itself (49 × 1 = 49).

What is the 10th multiple of 49?

The 10th multiple of 49 is 49 × 10 = 490.

Are all multiples of 49 also multiples of 7?

Yes, all multiples of 49 are also multiples of 7 because 49 is a multiple of 7 (49 = 7 × 7).

What is the 20th multiple of 49?

The 20th multiple of 49 is 49 × 20 = 980.

Is 500 a multiple of 49?

No, 500 is not a multiple of 49 because there is no integer n such that 49 × n = 500.

How can multiples of 49 be used in real life?

Multiples of 49 can be used in real-life scenarios such as calculating quantities in bulk (e.g., 49-pack items), scheduling (e.g., events every 49 days), and financial planning (e.g., budgeting for items costing 49 units each).

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