Zusammenfassung der Ressource
Prime Numbers
- Prime Numbers
- A prime number
is a number that
has exactly 2
different factors;
itself and 1
- 1 is not a prime
number
- Testing for
prime
numbers
- 1. Find the
square root of
the number
- 2. Check whether the
number is divisible by
prime numbers up to
the square root
- Eg. Is 307 a prime number?
- The square root of
307 = 17.5
- If 307 is not divisible by
2,3,5,7,11,13,17, then it is
a prime number
- Multiples
- Numbers in the times table
- Eg. Multiples of 7
are
7,14,21,28,35,42...
- Factors
- The numbers that
divide into a number
- Eg. the factors of 12 are
1,2,3,4,6,12 as 12 is
divisible by all these
numbers
- The easiest ways to find the
factors of a number is to list
them in pairs
- Eg. factors of 36:
1 and 36, 2 and
18...
- Products of prime numbers
- To find the product of prime
factors of a number it is
useful to draw a factor tree
- 36
- 4
- 2
- 2
- 9
- 3
- 3
- 2 x 2 x 3 x 3
- This is the
product of the
prime factors
of 36
- Highest common factor and
Lowest common multiple
- Use a factor tree for
all numbers
- Make a venn diagram. Label that circles with
each number. Put the common prime factors in
the section where both circles cross.
- To find the highest common
factor multiply the numbers in
the section where both circles
cross.
- To find the lowest common
multiple multiply all the
numbers in the venn diagram