# Factor and Multiples

Factors and multiplies deal with the number in mathematics. Here students will learn the definition of factors and multiples.

In this learning concept, the students will learn to

• Classify the properties of factors and properties of multiplies.
• Identify the difference between factors and multiplies.
• Evaluate the multiple of 12.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.

Download the factors and multiplies worksheet for class 5 and check the solutions for factors and multiplies provided in PDF format.

What Is Factor?

factor of a number is defined as the number that divides the given number exactly without any remainder.

Examples:

We know that 8 is divisible by 4 completely without any remainder. Therefore, 4 is the factor of 8.

Alternatively, the factor of a number is defined as two numbers such that the product of numbers is equal to the given number.

Examples:

The product of the numbers 3 and 2 is equal to 6. Therefore, 2 and 3 are the factors of 6.

A number may have many factors.

Properties of Factors

• A number may have many factors.
• Every number is a factor of itself.
• 1 is the factor of every number.
• Every number other than 1 has at least two factors, i.e., 1 and itself.

What Is Multiple?

The multiples of the number are the product of the numbers with the natural numbers.

Examples:

The first ten multiples of 12 are:

12 × 6 = 72

12 × 7 = 84

12 × 8 = 96

12 × 9 = 108

12 × 10 = 120

12 × 1 = 12

12 × 2 = 24

12 × 3 = 36

12 × 4 = 48

12 × 5 = 60

Properties of Multiples

• Every number is a multiple of itself.
• 1 × 8 = 8; 1 × 14 = 14
• Every number is the multiple of 1.
• 8 × 1 = 8; 14 × 1 = 14
• The first multiple of the number is equal to the number.
• The first multiple of 8 is 1 × 8 = 8
• Every multiple of the number is either equal to the number or greater than the number.
• The multiple of 3 are 3, 6, 9, 12, 15, ……
• The multiples of an even number are always even.
• The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, …..
• The multiples of an odd number are alternatively odd and even.
• The multiples of 9 are 9, 18, 27, 36, 45, 54, ……
• A number can have an infinite number of multiples.