PRIME FACTORS.

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Presentation transcript:

PRIME FACTORS

PRIME FACTORS

PRIME NUMBERS 2 3 5 7 11 13 17 19 23 29

PRIME FACTORS

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

FACTORS THAT ARE PRIME NUMBERS WHAT ARE PRIME FACTORS? FACTORS THAT ARE PRIME NUMBERS

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

WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS 2 30 15 THE FIRST PRIME FACTOR

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

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

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

WRITE 30 AS A PRODUCT OF ITS PRIME FACTORS 2 30 3 15 5 THE SECOND PRIME FACTOR

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

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

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

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

Greatest COMMON FACTOR

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

Least COMMON MULTIPLE

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