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Types of Numbers
Square Numbers ­ any number times by itself.
Examples: 4 (2x2),9 (3x3),16 (4x4),etc
Cube Numbers ­ any numbers times by itself 3 times!
(Like volume of a cube!)
Examples: 8 (2x2x2), 27 (3x3x3), 64 (4x4x4),etc
Powers ­ how many times a number multiplies itself by.
Example: powers of 2:
2² = 2x2 = 4
2³ = 2x2x2= 8
2 = 2x2x2x2= 16
Prime Numbers ­ they only divide by themselves and
one.
If the number ends in 1,3,7 or 9, it means that there is a
chance of it being a prime number ­ but it doesn't mean
it is definitely a prime number! (e.g. 21,27 are NOT prime These are quite
numbers though they end in 1/7 as they both divide by basic ­ you NEED
3!)
to know them!
why…read more

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Multiples, Factors and Prime Factors
Multiple = multiply = just keep multiplying!
Multiples ­ the times table of that particular
number. E.g. the multiples of 3 = 3,6,9,12,15,18
........ So hard to explain =`=
....Please read it over
if you don't
understand~~
Factors of a number are pairs of numbers that
you multiply to get another number.
e.g. factors of 24 = 1x24,2x12,3x8,4x6 (multiply
any of those pairs and you'll get 24!) ­ just start
with 1 and keep going!
But- STOP when any numbers are repeated!
why…read more

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Examples
1x64 Factor of 64 ­
2x32 1,64,2,32,4,16,8
3x ­
4x16
5x ­ 3,5,6,7 can't be divided into 64.
6x ­ So leave it!
7x ­
8x 8 Repeated
numbers ­ so
STOP!
1x24
Don't write a number twice!
2x12 Factors of 24 ­
3x8
1,24,2,12,3,8,4,6
4x6 Always start with `1' times the
Repeated numbers number!
5x ­
­ so STOP!
6x4
why…read more

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Factor Tree
`Factor trees' are used to find prime factors (prime
factors: a number broken down into a string of prime
numbers all multiplied together) Factor tree of 420 ­ it
A factor tree looks like this: will show you the
prime factors of 420!
Each `level' of
`Level' 1 420 numbers multiplies to
get the number above
that level The numbers at the end
`Level' 2 42 42x10=420 10 (the ones in circles) are the
prime factors!
`Level' 3 6 5
6x7=42
7 2
2x5=10
2 3
2x3=6
Finally! The prime factors of 420 =2,3,7,2 and 5. You would get 420 by multiplying those
numbers.
So it's usually written with times signs = 2x3x7x2x5
However ­ examiners like to see numbers in the simplest form,
so we should write it like = 2²x3x7x5 (2²= 2x2)
why…read more

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LCM
LCM- Lowest Common Multiple ­ The smallest number that
will divide by all of the numbers in the question.
Once you know how to do the prime factors ­ LCM and HCF
are fiddlesticks!
LCM Example: Find the LCM of 42 and 36.
1) Find the prime factors of 42 and 36
2) 42=7x2x3 36=2x2x3x3
3) Circle the common prime factors
4) 42=7x2x3 36=2x2x3x3
5) Write down the ones you have circles ONCE =2x3
6) Then put the ones you haven't circled in the list=
2x3x2x3x7=252
This means if you wrote out all of the multiples
in both numbers, 252 will be the first number
that is common to both numbers. why…read more

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Comments

Labrynthoflife

Lisa or Katie or both, you are amazing, thanks for the amazingly brilliant, extremely helpful and imaginatively portrayed notes

Dimples

This is amazing :) Very helpful and creative! 

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