Transcript Properties of numbers

Properties of numbers
1) EVEN and ODD numbers
EVEN numbers all end with 2, 4, 6, 8, or 0.
They are all MULTIPLES of 2 – in other words in
the 2 times table.
ODD numbers all end with 1, 3, 5, 7, or 9 and are
Not MULTIPLES of 2.
Properties of numbers
2) FACTORS
Any whole number that divides exactly into
another is said to be a FACTOR of that number.
The FACTORS of 12 are 1, 2, 3, 4, 6, and 12
because 12 can be shared by them exactly.
Properties of numbers
2) FACTORS
It is easiest to build FACTORS in pairs.
Use your skills in TESTING FOR DIVISIBILITY
to decide if a number is a FACTOR.
Start with
1 x our number = our number,
2 x ? = our number
3 x ? = our number and so on
then
Properties of numbers
2) FACTORS
It is easiest to build FACTORS in pairs.
Use your skills in TESTING FOR DIVISIBILITY
to decide if a number is a FACTOR.
Start with
1 x 36 = 36,
then
2 x ? = 36
3 x ? = 36 and so on
Properties of numbers
2) FACTORS
It is easiest to build FACTORS in pairs.
Use your skills in TESTING FOR DIVISIBILITY
to decide if a number is a FACTOR.
Start with
1 x 36 = 36,
2 x 18 = 36
3 x 12 = 36
4 x 9 = 36
then
Properties of numbers
2) FACTORS
It is easiest to build FACTORS in pairs.
Use your skills in TESTING FOR DIVISIBILITY
to decide if a number is a FACTOR.
Start with
1 x 36 = 36,
2 x 18 = 36
3 x 12 = 36
4 x 9 = 36
5 x ? = 36
then
Properties of numbers
2) FACTORS
It is easiest to build FACTORS in pairs.
Use your skills in TESTING FOR DIVISIBILITY
to decide if a number is a FACTOR.
Start with
1 x 36 = 36,
then
2 x 18 = 36
3 x 12 = 36
4 x 9 = 36
5 x ? = 36 Can’t do it! 36 doesn’t end with 5 or 0
Properties of numbers
2) FACTORS
It is easiest to build FACTORS in pairs.
Use your skills in TESTING FOR DIVISIBILITY
to decide if a number is a FACTOR.
Start with
1 x 36 = 36,
then
2 x 18 = 36
3 x 12 = 36
4 x 9 = 36
6 x 6 = 36 keep going until a number repeats
Properties of numbers
2) FACTORS
These numbers are your FACTORS of 36
Start with
1 x 36 = 36,
2 x 18 = 36
3 x 12 = 36
4 x 9 = 36
6 x 6 = 36
then
Properties of numbers
2) FACTORS
This is one FACTOR PAIR of 36
Start with
1 x 36 = 36,
2 x 18 = 36
3 x 12 = 36
4 x 9 = 36
6 x 6 = 36
then
Properties of numbers
3) SQUARE numbers
Look at this pattern of suns:
Properties of numbers
3) SQUARE numbers
Look at this pattern of suns:
1
4
9
16
?
Properties of numbers
3) SQUARE numbers
Look at this pattern of suns:
1
x
1
2
x
2
3
x
3
4
x
4
5
x
5
Properties of numbers
3) SQUARE numbers
Look at this pattern of suns:
1
4
9
16
This pattern is called SQUARE numbers
25
Properties of numbers
3) SQUARE numbers
The square numbers are:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, …
Properties of numbers
3) SQUARE numbers
The square numbers are:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, …
These are the ones you need to learn!
Properties of numbers
3) SQUARE numbers
The square numbers are:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, …
Interesting point – SQUARE numbers have an
ODD number of FACTORS – check if you don’t
believe me!
Properties of numbers
4) PRIME numbers
These numbers have exactly 1 factor pair.
1 x 13 = 13
1 x 47 = 47
1 x 89 = 89
The pair is always 1 and the number itself.
Properties of numbers
4) PRIME numbers
1 is not a PRIME number, as it only has one factor:
1x1=1
2 is the only EVEN PRIME.
Properties of numbers
4) PRIME numbers
PRIME numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, …