MY SPECIAL NUMBERS!

BY MAX VAN DER LANS- TASSY 10 AND 8

FACTORS!

Factors are numbers you can multiply together to get another number.

Example: 2 and 3 are factors of 6, because 2 × 3 = 6.

A common factor is a factor that two numbers have in common.

8, 4

8 10

Venn diagram showing the factors of 8 and 10

1, 2 5, 10

MULTIPLE! A multiple is the result of

multiplying a number by a whole number

For example 2,4,6 are multiples

of 2.

A common multiple is a multiple that two numbers have in common.

8,16, 24, 32, 48, 10, 20, 30, 50, 56, 64, 72 40, 80 60, 70, 90, 100

Venn diagram showing the multiples of 8 and 10

L.C.M & H.C.F L.C.M (lowest common multiple)

is the lowest multiple two numbers have in common.

B =

2x4x5=40

2 8 10

4 4 5

5 1 5

1 1

A table showing the lowest common multiple of 10 and 8

H.C.F (highest common factor) is the highest factor two numbers have in common

2 8 10

4 5 = 2

Table showing the highest common factor of 8 and 10

PRIME FACTORIZATION Prime factorization is finding which prime numbers are

multiplied together to get the original number.

Prime factorization of 10

= 2×5

Prime factorization of 8

= 2×2×2

2 10

5 5

2 8

2 4

2 2

PRIME OR COMPOSITE

A whole number that can be divided evenly by numbers other than 1 or itself is a composite number.

A Prime Number can be divided evenly only by 1, or itself.

And it must be a whole number greater than 1.

8 and 10 are composite numbers because they can be divided evenly by other numbers than 1 and themselves.

EVEN AND ODD NUMBERS

A number is odd if it can not be divided evenly by 2.

A number is even if it can be divided evenly by 2.

8 and 10 are even numbers because they can be divided evenly by 2.

SQUARE NUMBERS A square number is the result when you

multiply a number by itself.

for example 3 x 3 = 9 so nine is a square

number

100 is the square number of 10 because

10x10=100

64 is the square number of 8 because 8x8=64.

64

8

8

PERFECT SQUARE

A Perfect square number is a number, which square roots are whole numbers.

For example 64 is a perfect square because 8 is a whole number and 8x8=64

8 and 10 are not perfect squares because their square roots are not whole numbers.

SQUARE ROOTS

The square root of a number is a value that, when multiplied by itself, gives the number

8 is the square root of 64

because 8 x 8 = 64.

10 is the square root of 100

because 10 x 10 = 100.

64

8

8

CUBE NUMBERS AND CUBE ROOTS

A cube number is the result of using a whole number in a multiplication three times.

For example 3x3x3=27 so 27 is a cube number.

10 is not a cube number, but it is the cube root of 1000.

8 is a cube number because 2x2x2=8 so the cube root of 8 is 2

22

2

HAPPY NUMBER

Starting with any positive whole number, replace the number by the sum of the squares of its digits. Repeat until the number equals 1. If the number does not equal 1, it will loop in an endless cycle. If the number equals 1 it is a happy number, but if it loops in an endless cycle it is not a happy number.

10 is a happy number because 1x1 + 0x0 = 1

8 is not a happy number because it ends in a loop.

ABUNDANT NUMBER

An abundant number is a number for which the sum of its proper divisors is greater than the number itself

For example 12 is the first abundant number because its proper divisors add up to 16. 1+2+3+4+6=16 and 16 > 12

8 is not an abundant number because its proper divisors add up to 7. 1+2+4=7 and 7<8

10 is not an abundant number because its proper divisors add up to 8. 1+2+5=8 and 8<10

PERFECT NUMBER

A perfect number is a number for which the sum of its proper divisors equals the number itself.

For example 6 is a perfect number because its proper divisors add up to 6. 1+2+3=6 and 6=6

10 is not a perfect number because its proper divisors add up to 8.

1+2+5=8 and 8<10

8 is not a perfect number because its proper divisors add up to 7. 1+2+4=7 and 7<8

FACTS ABOUT MY NUMBERS

8 stays the same if written upside down 8.

An umbrella is often shaped as an octagon (an 8 sided shape).

A decade is 10 years

Crabs have 10 legs.

There are 8 legs on a spider

In the game bowling there are 10 pins

MORE FACTS ABOUT MY NUMBER

The word for 8 (bā) in Chinese sounds similar to the word wealth and prosperity. The opening of the Summer Olympics in Beijing began on the 8/8/08 at 8 seconds and 8 minutes past 8 pm at local time.

We have ten fingers and ten toes.

The Roman symbol for 10 is X, symbolizing two crossed hands (ten fingers).

THE END

Nice Belt!!!!!!!!!!!!!!