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2696938
Prime Numbers
Description
Mind Map on Prime Numbers, created by nadia.rauf on 10/05/2015.
Mind Map by
nadia.rauf
, updated more than 1 year ago
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Created by
nadia.rauf
over 9 years ago
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Resource summary
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
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