About Lesson
If a number ‘a’ divides another number ‘b’ exactly, then we say that ‘a’ is a factor of ‘b’ and ‘b’ is a multiple of ‘a’.
Factor:
A factor of a number is an exact divisor of that number.
- If a counting number divides another number exactly ( without leaving any remainder), then the divisor is a factor of the dividend.
- Every number has at least two factors – 1 and the number itself.
- All the factors of a number are either less than or equal to the number.
Multiple:
A number is said to be a multiple of any of its factors.
- A multiple of a whole number is the product of the number and any counting numbers.
- Every number is a multiple of 1.
- The smallest multiple of any number (other than zero) is the number itself.
- Every multiple of a number is greater than or equal to that number.
- The number of multiples of a given number is infinite.
Example: When 20 is divided by 5, the remainder is zero, i.e. 5 divides 20 exactly. So 5 is
a factor of 20 and 20 is a multiple of 5.
Even Numbers:
All the multiples of 2 are called even numbers.
Example: 2, 4, 6, 8, 10, 12 … are all even numbers.
Odd Numbers:
Numbers which are not multiple of 2 are called odd numbers.
Example: 1, 3, 5, 7, 9, 11, 13, 15 … are all odd numbers.
How is a factor and a multiple different?
It is different because a factor is the number you multiply to get a multiple , a multiple is the number you get when you multiply a factor .
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