Explanation for Multiples and Factors of an Integers

Introduction to multiples and factors of an integers:
                        In math, the natural numbers are form the integer and another name of number is an integer. The factor is divisor of a given number. This divisor is divides the given integer without any remainder. The factors may be two or more in an integer. The multiple is a one quantity in multiplication. Now we are going to see about sum of factors of a number.

Explanation for Multiples and Factors of an Integers

Multiples of an integers:

                          If we multiply the one integer with another integer means that first integer is called as multiples. For example, x. y = x is multiple of y that is 2 x 3 = integer 2 is a multiple of integer 3.

Properties of multiple:

• The integer zero is common multiple of all integers.
• If we multiply any integer with 1 means that any integer is multiple of 1.

Factors of integers:

                             The factors are referred as divisors and each integer contains more than one factors. Types of factors are,

• Prime factors – It define the prime numbers (only two divisors).
• Composite factors – It define the composite number (two or more factors).

More about Multiples and Factors of an Integers

Example problems for multiples and factors of an integers:

Problem 1: Find out the multiples of given number.

8

Answer:

The given integer is 8.

The multiples of given integer is 8 x 1 = 8

                                                     8 x 2 = 16

                                                     8 x 3 = 24

                                                     8 x 4 = 32

Therefore, the multiples of an integer 8 are 8, 16, 24, 32…….

Problem 2: Find out the factors of given integer.

42

Answer:

The given integer is 42.

Factors of an integer 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

Example problems for multiples and factors of an integers:

1. Determine the factors of an integer 20.

Answer: Factors are 1, 2, 4, 5, 10 and 20.

2. List the multiples of an integer 11.

Answer: The multiples of an integer are 11, 22, 33, 44….