Multiples of 98

Created by: Team Maths - Examples.com, Last Updated: May 30, 2024

Multiples of 98

Multiples of 98 are numbers that can be obtained by multiplying 98 by any integer. In mathematics, a multiple of a number is the product of that number and an integer. For example, 98, 196, and 294 are multiples of 98, found by multiplying 98 with 1, 2, and 3 respectively. These multiples include both positive and negative values, as multiplying by negative integers yields negative multiples. Understanding multiples is essential in number theory, as they help in identifying divisors, factors, and relationships between numbers.

What are Multiples of 98?

Multiples of 98 are numbers obtained by multiplying 98 with whole numbers (integers). These include 98, 196, 294, and so on. Each multiple can be expressed as 98n, where n is an integer.

Prime Factorization of 98: 2 x 7 x 7 First 10 Multiples of 98 are 98, 196, 294, 392, 490, 588, 686, 784, 882, 980.

Table of 98

Important Notes

Step 1: Definition of Multiples

Multiples of a number are the result of multiplying that number by an integer. In this case, a multiple of 98 is any number that can be expressed as 98×n, where n is an integer.

Step 2: Finding Initial Multiples of 98

To find the first few multiples of 98, we multiply 98 by the first few positive integers:

• 98×1 = 98
• 98×2 = 196
• 98×3 = 294
• 98×4 = 392
• 98×5 = 490

Step 3: Properties of Multiples of 98

Multiples of 98 share several common properties:

• Divisibility: All multiples of 98 are divisible by 98.
• Even Numbers: Since 98 is even, all multiples of 98 are also even.
• Common Factor: 98 can be factorized into 2×7×7. Therefore, all multiples of 98 have at least these factors.

Step 4: General Formula for Multiples of 98

The general formula to find any multiple of 98 is: Multiple of 98 = 98×n where n is any integer (positive, negative, or zero).

Step 5: Examples and Patterns

Here are some more examples to illustrate the pattern:

• 98×6 = 588
• 98×7 = 686
• 98×10 = 980
• 98×15 = 1470

Examples on Multiples of 98

Simple Multiples of 98

• 392: 98×4 = 392
• 980: 98×10 = 980
• 1568: 98×16 = 1568

Larger Multiples of 98

• 4900: 98×50 = 4900
• 9800: 98×100 = 9800
• 19600: 98×200 = 19600

Real-Life Examples of Multiples of 98

• Time: If you have 980 minutes, it is a multiple of 98 because 98×10 = 980.
• Distance: A journey of 4900 kilometers is a multiple of 98 because 98×50 = 4900.
• Measurement: A field measuring 9800 square meters is a multiple of 98 because 98×100 = 9800.

Practical Examples of Multiples of 98

What is the 15th multiple of 98?

The 15th multiple of 98 is 98×15 = 1470.

Is 490 a multiple of 98?

Yes, 490 is a multiple of 98 because 98×5 = 490.

What is the next multiple of 98 after 1960?

The next multiple of 98 after 1960 is 1960+98 = 2058.

Find the 25th multiple of 98.

The 25th multiple of 98 is 98×25 = 2450.

Is 713 a multiple of 98?

No, 713 is not a multiple of 98 because it cannot be expressed as 98×n where n is an integer.

What are multiples of 98?

Multiples of 98 are numbers that can be expressed as 98 multiplied by an integer. For example, 98, 196, 294, and so on.

How do you find the 5th multiple of 98?

To find the 5th multiple of 98, multiply 98 by 5: 98 × 5 = 490.

Is 784 a multiple of 98?

Yes, 784 is a multiple of 98 because 784 divided by 98 equals 8, an integer (98 × 8 = 784).

What is the smallest multiple of 98?

The smallest multiple of 98 is 98 itself (98 × 1 = 98).

What is the next multiple of 98 after 490?

The next multiple of 98 after 490 is 490 + 98 = 588.

How do you determine if a number is a multiple of 98?

To determine if a number is a multiple of 98, divide the number by 98. If the result is an integer, the number is a multiple of 98.

What is the 10th multiple of 98?

The 10th multiple of 98 is 98 × 10 = 980.

Are multiples of 98 also multiples of 7?

Yes, multiples of 98 are also multiples of 7 because 98 is 7 × 14, making 98 a multiple of 7.

Can negative numbers be multiples of 98?

Yes, negative numbers can be multiples of 98. For example, -98, -196, and -294 are multiples of 98.

What is the largest multiple of 98 within 1000?

The largest multiple of 98 within 1000 is 98 × 10 = 980, as 98 × 11 = 1078 exceeds 1000.

Text prompt