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Types of numbers.
1) Whole numbers 0, 1, 2, 3, 4, 5, ………….
2) Counting numbers/ Natural numbers 1, 2, 3, 4, 5, ………….
3) Odd numbers: These are numbers that give a remainder when divided by 2
{1, 3, 5, 7, ……………….}
4) Even numbers: These are ones that are exactly disable by two
{0, 2, 4, 6, 8, 10, ……………….}
5) Prime numbers: These are numbers with only two factors.
{2, 3, 5, 7, 11, 13, ……………….}
6) Composition numbers: These are numbers with more than 2 factors
{4, 6, 8, 9, 10, 12, ……………….}
7) Square numbers: These are numbers got by multiplying a number by its self.
{1, 4, 9, 16, 25, ……………….}
8) Cubic numbers: These are got by multiplying the same number three times.
{1, 8, 27, 64, ……………….}
9) Triangular numbers: These are got by adding consecutive counting numbers.
{1, 3, 6, 10, 15, 21, ……………….}
+2 +3 +4 +5 +6
MULTIPLES AND L.C.M
Take note of the limits
*Less than
*From to
*between ……………. And ………..
*The first………………..
Examples
{24, 30, 36}
M12 = {12, 24, 36, 48, 60}
Finding lowest common multiple by listing down multiples
Example
DIVISIBILITY TESTS
These show which number is exactly divisible by another given number.
Divisibility test for 2.
A number is divisible by 2 if the last digit is an even number
i,e 0, 2, 4, 6, 8, …………..
Divisibility test for 3.
A number is divisible by 3 if the sum of its digits is divisible by 3.
Example.
State whether 144 is divisible by 3.
Sum of the digits 1 + 4 + 4
= 9
9 is divisible by 3
144 is divisible by 3.
Divisibility test for 4
A number is divisible by 4 if its last two digits are zero or divisible by 4.
Divisibility test for 5
A number is divisible by 5 if its last digit is either 0 or 5.
Divisibility test for 10
A number is divisible by 10 if its last digit is 0.
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