FACTORS AND MULTIPLES

Question 1

FACTORS

WHAT IS A FACTOR OF A NUMBER?

Answer 1

A FACTOR OF A NUMBER IS ANOTHER NUMBER THAT WILL DIVIDE INTO THE FIRST NUMBER WITHOUT LEAVING A REMAINDER.

5 IS A FACTOR OF 15 BECAUSE 15 ÷ 5 = 3

Question 2

FINDING THE FACTORS OF A NUMBER

FIND THE FACTORS OF 60

Answer 2

Question 3

PRIME NUMBERS

WHAT IS A PRIME NUMBER?

Answer 3

• A NUMBER THAT CAN ONLY BE DIVIDED BY 1 AND ITSELF.
• THE FIRST PRIME NUMBER IS 2
• 2 IS THE ONLY EVEN PRIME NUMBER

Question 4

PRIME NUMBERS

WHAT ARE THE PRIME NUMBERS UP TO 50?

Answer 4

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47

Question 5

FINDING THE PRIME FACTORS OF A NUMBER

HOW CAN YOU EXPRESS A NUMBER AS THE PRODUCT OF A SET OF PRIME NUMBERS?

KNOWN AS THE PRIME FACTORS OF A NUMBER

Answer 5

1. START WITH THE NUMBER AT THE TOP
2. SPLIT THE NUMBER INTO ITS FACTORS
3. WHEN YOU GET TO A PRIME NUMBER CIRCLE IT
4. KEEP GOING UNTIL YOU CANT GO FURTHER
5. WRITE DOWN THE PRIME FACTORS
6. IF THERE ARE MULTIPLE OF THE SAME FACTORS WRITE THEM AS POWERS

Question 6

HIGHEST COMMON FACTOR

WHAT IS A HIGHEST COMMON FACTOR?

Answer 6

THE HCF OF TWO OR MORE GIVEN NUMBERS IS THE LARGEST NUMBER THAT CAN BE DIVIDED EXACTLY INTO THOSE NUMBERS.

Question 7

HIGHEST COMMON FACTOR

FIND THE HCF OF 60 AND 80

Answer 7

• LIST THE FACTORS OF BOTH NUMBERS
• 60 = 1,2,3,4,5,6,10,12,15,20,30,60
• 80 = 1,2,4,5,8,10,16,20,40,80
• FIND THE LARGEST VALUE COMMON TO BOTH LISTS
• HCF = 20

Question 8

MULTIPLES

WHAT IS A MULTIPLE?

Answer 8

A MULTIPLE OF A NUMBER IS, THAT NUMBER MUTLIPLIED BY ANY INTEGER

Question 9

MULTIPLES

WHAT ARE THE MULTIPLES OF 6?

Answer 9

6,12,18,24,30,36,42,48

Question 10

LOWEST COMMON MULTIPLE

WHAT IS THE LOWEST COMMON MULTIPLE?

Answer 10

THE LCM OF TWO OR MORE GIVEN NUMBERS IS THE LOWEST NUMBER, COMMON TO BOTH LISTS OF MULTIPLES OF NUMBERS

Question 11

LOWEST COMMON MULTIPLE

FIND THE LCM OF 6 AND 7

Answer 11

1. LIST THE MULTIPLES OF THE NUMBERS
2. 6 = 6,12,18,24,30,36,42
3. 7 = 7,14,21,28,35,42,49,56
4. LCM = 42