Multiples

# What are the Multiples of 49 | All Multiples of 49 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

### What are the Multiples of 49 | All Multiples of 49 up to 1000

The first ten multiples of 49 are listed as follows: 49, 98, 147, 196, 245, 294, 343, 392, 441, and 490.

The multiples of 49 are a sequence of numbers that can be obtained by multiplying the number 49 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 49 is always 49.

To find the multiples of 49, you need to perform a repeated addition of the number 49 or multiply the number 49 with a sequence of natural numbers.

Alternatively, the multiples of 49 are the numbers that when divided by 49 do not leave any remainder.

## What are the first five Multiples of 49

The multiples of 49 are a sequence of numbers that can be obtained by multiplying the number 49 with a sequence of natural numbers.

The difference between any two consecutive numbers in the sequence of multiples of 49 is always 49.

Alternatively, the multiples of 49 are the numbers that when divided by 49 do not leave any remainder.

To find the multiples of 49, you need to perform a repeated addition of the number 49 or multiply the number 49 with a sequence of natural numbers.

Step 1: To find the first multiple of 49, multiply 49 by 1. 49 x 1 = 49.

Step 2: To find the second multiple of 49, multiply 49 by 2. 49 x 2 = 98. Alternatively, you can add 49 to the first multiple to get the second multiple of 49. 49 + 49 = 98.

Step 3: Multiply 49 by 3 to get the third multiple of 49. 49 x 3 = 147. Alternatively, you can add 49 two times to the second multiple to get the third multiple of 49. 98 + 49 = 147.

Step 4: The fourth multiple of 49 can be found by multiplying 49 by 4. 49 x 4 = 196. Alternatively, you can add 49 three times to the third multiple to get the fourth multiple of 49. 147 + 49 = 196.

Step 5: To find the fifth multiple of 49, you need to multiply 49 by 5. 49 x 5 = 245. Alternatively, you can add 49 four times to the fourth multiple to get the fifth multiple of 49. 196 + 49 = 245.

Therefore, the first 5 multiples of 49 are listed as follows 49, 98, 147, 196, and 245.

## How to find the Multiples of 49

To find the multiples of 49 two methods can be used. The first few multiples of 49 are listed as follows 49, 98, 147, 196, 245, and so on. The multiples of 49 are a sequence of numbers that can be obtained by multiplying the number 49 with a sequence of natural numbers. The difference between any two consecutive numbers in the sequence of multiples of 49 is always 49.

### Finding multiples of 49 using the repeated addition method

The first multiple of 49 is 49 itself. To find the second multiple of 49, we add 49 to the first multiple, which gives 98. Continuing this process, we can obtain the third, fourth, and so on multiples of 49. An example of the first five multiples of 49 using the repeated addition method is given below:

49

49 + 49 = 98

98 + 49 = 147

147 + 49 = 196

196 + 49 = 245

### Finding the multiples of 49 using the multiplication method

We can find the multiples of 49 by multiplying 49 with a sequence of natural numbers. For example, the first five multiples of 49 obtained by multiplying 49 with a sequence of natural numbers are:

## Finding the first 20 multiples of 49

To find the first 20 multiples of 49 using the multiplication method, we can follow similar steps as above. First, we create the sequence of natural numbers from 1 to 20. Then, we multiply each number in the sequence by 49 to find the corresponding multiples. The first 20 multiples of 49 are given below:

## Difference between Multiples and Factors of 49

In mathematics multiples and factors are two very different concepts.

In summary, multiples of 49 are the products of 49 and any natural number, while factors of 49 are the numbers that divide 49 exactly without leaving a remainder.

## Solved Examples for Multiples of 49

1. Find the first 5 multiples of 49.

Solution: To find the first 5 multiples of 49, we can simply multiply 49 by each of the first 5 positive integers:

49 x 1 = 49

49 x 2 = 98

49 x 3 = 147

49 x 4 = 196

49 x 5 = 245

Therefore, the first 5 multiples of 49 are 49, 98, 147, 196, and 245.

1. What is the smallest multiple of 49 that is greater than 500?

Solution: To find the smallest multiple of 49 that is greater than 500, we can divide 500 by 49 and take the next integer value.

500 ÷ 49 = 10 remainder 10

The next integer value is 11. So, we can multiply 49 by 11 to get the smallest multiple of 49 that is greater than 500.

49 x 11 = 539

Therefore, the smallest multiple of 49 that is greater than 500 is 539.

1. Find the common factors of 49 and 98.

Solution: To find the common factors of 49 and 98, we can factor both numbers and find their common factors.

The prime factorization of 49 is 7 x 7, and the prime factorization of 98 is 2 x 7 x 7.

Therefore, the common factor of 49 and 98 is 7, which means their greatest common factor (GCF) is 7.

1. Is 1837 a multiple of 49?

Solution: To check if 1837 is a multiple of 49, we need to divide 1837 by 49 and see if the result is a whole number.

1837 ÷ 49 = 37 remainder 30

Since the remainder is not 0, 1837 is not a multiple of 49.

1. Express 980 as a product of its prime factors in terms of multiples of 49.

Solution: To express 980 as a product of its prime factors, we can factor it into its prime factors and use the prime factors of 49 to represent those factors in terms of multiples of 49.

980 = 2 x 2 x 5 x 7 x 7

The prime factorization of 49 is 7 x 7, so we can write:

980 = 2 x 2 x 5 x 7 x 7 = 2 x 2 x 5 x 49

Therefore, 980 can be expressed as a product of its prime factors in terms of multiples of 49 as 2 x 2 x 5 x 49.

## FAQs on Multiples of 49

### What is the significance of the number 49 in US history?

The number 49 is significant in US history because it was the year in which California was admitted as the 31st state in the Union, in 1849, during the Gold Rush era.

### What is the largest US bill that is a multiple of 49?

There is no US bill denomination that is a multiple of 49. The US Treasury only produces bills in denominations of \$1, \$2, \$5, \$10, \$20, \$50, and \$100.

### Are there any notable events or celebrations that occur on multiples of 49 in the US?

There are no major events or celebrations that occur on multiples of 49 in the US, although some individuals may choose to celebrate their 49th wedding anniversary, which is traditionally known as the “jade” anniversary.

### What is the significance of the number 49 in mathematics and science?

In mathematics, the number 49 is a perfect square, as it is the square of 7. It is also a composite number, which means it can be divided by factors other than 1 and itself. In science, the number 49 has no specific significance or use.

### What are some common multiples of 49 in the US measurement system?

In the US measurement system, common multiples of 49 include 49 feet, 98 feet, 147 feet, and so on. However, these are not commonly used measurements.

Written by by

Prerit Jain

Share article on