Factors & Multiples Flashcards
When is number x divisible by number y?
When x divided by y = a whole number with no remainders
What is a good way to think of divisibility?
x/y - How many times can y go into x?
What two reasons can you give as to why x is a multiple of y?
- x is a multiple of y when multiplying y by any other whole number equates to x
- if x is divisible by y
Which numbers are multiples of 0?
Any number. Any number multiplied by 0 = 0
Is x a multiply of y is the same as asking ___?
Is x divisible by y
What is a prime number?
A number which can only be divided by itself and 1
What is number called that can be divided by more numbers than just itself and 1?
A composite
What is a factor?
A whole number that will divide into a selected number with no remainder.
What is factorisation?
- Finding the GCF of terms in an expression
- Pulling the GCF outside of brackets and putting the terms you’d need to multiply the GCF with to get to the equivalent values of the original expression
It is the opposite of expanding brackets
What is the product of primes?
A number expressed as a product of its primes
How to take a value and express it as product of primes?
Use prime factorisation
How do you perform prime factorisation?
- Start with a value and see if it is divisible by 2, 3, 4, 5, 6, 7, 8, 9 or 10 using divisibility rules
- Find our what 1 - 10 needed to be multiplied by to get to that answer
- Repeat until you are only left with primes
What is the least common multiple?
The smallest value that is a multiple of all given numbers
What is the greatest common factor?
The highest value which is divisible by all the given terms
How can the GCF be found
Through prime factorisation
