1. PRIME
FACTORS

2. PRIME
FACTORS

3. PRIME NUMBERS

4. PRIME
FACTORS

5. NUMBERS THAT DIVIDE INTO OTHER NUMBERS EXACTLY
WHAT ARE FACTORS?
NUMBERS THAT DIVIDE INTO OTHER NUMBERS EXACTLY

6. FACTORS THAT ARE PRIME NUMBERS
WHAT ARE PRIME FACTORS?
FACTORS THAT ARE PRIME NUMBERS

7. WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS
IS 30 AN EVEN NUMBER?
YES
DIVIDE IT BY 2

8. WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS2 30 15
THE FIRST PRIME FACTOR

9. WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS
IS 15 AN EVEN NUMBER? NO

10. WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS
IS 15 A PRIME NUMBER? NO

11. WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS
WILL 15
DIVIDE
BY 3?
YES

12. WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS2 30 3 15 5
THE SECOND PRIME FACTOR

13. WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS
IS 5 AN EVEN NUMBER? NO

14. WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS
IS 5 A PRIME NUMBER?
YES
ALL THE PRIME FACTORS HAVE BEEN FOUND

15. WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS
30 = 2 x 3 x 5

16. WRITE 180 AS A PRODUCT OF ITS PRIME FACTORS2
180 2 90 3 45 3 15 5
180 = 2 x 2 x 3 x 3 x 5
PRACTICE

17. Greatest
COMMON
FACTOR

18. FIND THE GCF OF 120 AND 180
Find the prime factors of each number
120 = 2 x 2 x 2 x 3 x 5
2. Find the prime factors that are common
180 = 2 x 2 x 3 x 3 x 5
3. Work out the GCF
HCF = 2
x 2
x 3
x 5
= 60
PRACTICE

19. Least
COMMON
MULTIPLE

20. FIND THE LCM OF 36 AND 56
Find the prime factors of each number
36 = 2 x 2 x 3 x 3
2. Write down the first set of factors again
56 = 2 x 2 x 2 x 7
x 2 x 7
2 x 2 x 3 x 3
2 and 7 are missing
2 and 7 are missing
LCM = 504
3. Check each factor of the second set is in the LCM – if not add them
PRACTICE