Multiples of 50

Multiples of 50 are the product of any natural number with 50. The list of all multiples of 50 starts with 50 × 1 = 50 and extends up to infinity. As there are infinite natural numbers thus, there are infinite multiples of 50. The number with which 50 is multiplied to get the multiples of 50 are factors of those multiples, and the number which can completely divide 50 are factors of 50.

What are the Multiples of 50?

Multiples of 50 are the numbers that are obtained by multiplying 50 to any given number. The multiples of 50 with the first twenty natural numbers are 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000,……. We can find many multiples of 50 likewise. Thus, all those numbers which come in the times table of 50 are multiples of 50.

Factors and Multiples of 50

Multiples of 50 are obtained by multiplying natural numbers with 50, and factors of 50 are the numbers that completely divide 50. Factors of a number determine whether the number is a prime number or a composite number. If the number has only two factors viz.1 and itself then the number is a prime number, whereas if it has more than three factors then it is a composite number. Therefore, factors of 50 are 1, 2, 5, 10, 25, and 50. Since 50 has more than two factors then 50 is a composite number.

Difference between Multiples of 50 and Factors of 50

Common Multiples of 50

Common multiples of 50 with any other given number is the number of multiples that are the same in the times table of both the numbers.

For example, common multiples of 50 and 60

The common multiples among the first few multiples of both the numbers are 300 and 600 there are many common multiples we can find further. There will be infinitely many common multiples of 50 and 60. This is why we always find the lowest common multiple of any given number, as it is impossible to find the greatest common multiple of the given numbers.

Video Lesson on Common Multiples

Lowest Common Multiple of 50

The lowest common multiple of 50 with any other given number is the lowest number which both 50 and the given number can divide.

For example,

The lowest common multiple of 50 and 80

Clearly, the lowest common multiple or LCM of 50 and 80 is 400. That is, 400 is the lowest number which both 50 and 80 can divide.

Important Facts on Multiples of 50

• Every multiple of 50 is an even number since 50 itself is an even number.
• The lowest multiple of 50 is 50 itself (50 × 1 = 50).
• The greatest multiple of 50 cannot be determined as there are infinitely many multiples of 50.
• The n^th multiple of 50 can be determined by 50 × n
• 50 is a factor of each multiple of 50.
• All multiples of 50 form a sequence, rather an arithmetic progression in which each term differs by 50.
• No multiple of 50 is a prime number, as every multiple of 50 has at least three multiple 1, 50 and the multiple of 50 itself.

Related Articles on Multiples of 50

• Factors and Multiples of a number
• Lowest Common Multiple
• Greatest Common Divisor
• Relation between HCF and LCM

Solved Examples on Multiples of 50

Example 1:

Find the average of the first 20 multiples of 50.

Solution:

The first 20 multiples of 50 are 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600,

650, 700, 750, 800, 850, 900, 950, 1000

Average of the first 20 multiples of 50 = ½ × Sum of first 20 multiples of 50= 10500/2 = 525

Example 2:

Find the least common multiple of 50, 60 and 70.

Solution:

By prime factorisation method,

L.C.M of 50, 60 and 70 = 2 × 2 × 5 × 5 × 3 × 7 = 2100

Example 3:

In each class of a school, there are 50 students. There are 20 classes in that school.

How many total students are there in the school?

Solution:

The total number of students will be in multiples of 50 since there are 50 students in each

class.

Number of classes = 20

Total number of students = 50 × 20 = 1000

There are 1000 students.