divisibility test lesson

DIVISIBILITY RULES

DIVISIBILITY BY 2

A NUMBER IS DIVISIBLE BY 2, IF THE UNIT'S DIGIT IS 0,2,4,6,OR 8

EG: 234,76,1998,512,300 ARE DIVISIBLE BY 2

FIND THE NUMBERS WHICH ARE DIVISIBLE BY 2

189,2008,445,344,709,192,317

DIVISIBILITY BY 3

IF THE SUM OF THE DIGITS OF A NUMBER IS DIVISIBLE BY 3, THEN THE NUMBER IS DIVISIBLE BY 3

EG: 345 IS DIVISIBLE BY 3, BECAUSE 3 + 4 + 5 = 12, WHICH IS DIVISIBLE BY 3

CHECK WHETHER 1262 IS DIVISIBLE BY 3 ?

DIVISIBILITY BY 4

A NUMBER IS DIVISIBLE BY 4, IF THE LAST TWO DIGITS OF A NUMBER IS DIVISIBLE BY 4 (OR) LAST TWO DIGITS IS 0.

EG: 628 IS DIVISIBLE BY 4, BECAUSE 28 IS DIVISIBLE BY 4

CHECK WHETHER 500 IS DIVISIBLE BY 4 ?

DIVISIBILITY BY 5

A NUMBER IS DIVISIBLE BY 5, IF THE LAST DIGIT IS 0 OR 5

EG: 275,9000,335,100 ARE DIVISIBLE BY 5

DIVISIBILITY BY 6

A NUMBER IS DIVISIBLE BY 6, IF IT IS DIVISIBLE BOTH BY 2 AND 3

EG: 474 IS DIVISIBLE BOTH BY 2 AND 3,SO IT IS DIVISIBLE BY 6.

CHECK WHETHER 5182 IS DIVISIBLE BY 6 ?

DO YOU THINK ALL EVEN NUMBERS ARE DIVISIBLE BY 6 ?

DIVISIBILITY BY 8

A NUMBER IS DIVISIBLE BY 8, IF THE LAST THREE DIGITS IS DIVISIBLE BY 8 (OR) THE LAST THREE DIGITS IS 0.

EG: 1320 IS DIVISIBLE BY 8,BECAUSE 320 IS DIVISIBLE BY 8

CHECK WHETHER 300 IS DIVISIBLE BY 8 ?

DIVISIBILITY BY 9

IF THE SUM OF THE DIGITS OF A NUMBER IS DIVISIBLE BY 9,THEN THE NUMBER IS DIVISIBLE BY 9

EG: 189 IS DIVISIBLE BY 9,BECAUSE 1 + 8 + 9 = 18 WHICH IS DIVISIBLE BY 9

CHECK WHETHER 2052 IS DIVISIBLE BY 9 ?

DIVISIBILITY BY 10

A NUMBER IS DIVISIBLE BY 10, IF THE LAST DIGIT IS 0

EG: 20,340,5200,19000 ARE DIVISIBLE BY 10 SINCE THEY ALL ARE ENDING WITH 0

DIVISIBILITY BY 11

A NUMBER IS DIVISIBLE BY 11, IF THE DIFFERENCE BETWEEN THE SUM OF ALTERNATE DIGITS OF THE GIVEN NUMBER IS 0 OR MULTIPLES OF 11

EG: IN 2640, 2 + 4 = 6

6 + 0 = 6, 6 - 6 = 0, SO 2640 IS DIVISIBLE BY 11

Multiple Choice

What is the divisibility rule for 5?

• The digits must add up to 10.

• The last digit needs to be a 5 or 0.

• The last digit can only be a 5.

• The sum of the digits need to be divisible by 5.

Multiple Choice

Is 1,284,604 divisible by 2?

• Yes, because the sum of the digits is 20, which is an even number

• No, because 4 is an odd number

• Yes, because 4 is an even number

• No, because the it is not divisible by 3

Multiple Choice

Which of the following numbers is NOT divisible by 4?

• 1000
• 1566
• 5740
• 2024

Multiple Choice

How do you know if a number is divisible by 8?

• If the sum of the numbers add up to 8

• If the last 3 digits is divisible by 8

• if the lat digit is an 8

• If the number is an even number

Multiple Choice

What is the divisibility rule for 6?

• It is divisible by 2 and 3

• It is divisible by 3 and 4

• It is divisible by 2 and 4

• The last digit is zero

Multiple Choice

Is 19,584 divisible by 9?

• Yes

• No

Multiple Choice

Is 36,928 divisible by 4?

• Yes, because the sum of the digits is a multiple of 4

• Yes, because it is an even number

• Yes because the last two digits, 28, is divisible by 4

• Yes, because it is divisible by 2 and 3

Multiple Choice

2520 is divisible by 6 because:

• It is divisible by 2 (even) and 5 (ends in a 0 or 5)

• The sum of the digits is 12, a multiple of 6

• It's divisible by 2 (even) and 3 (sum of digits is a multiple of 3)

• The sum of the digits is even

Multiple Choice

Is 555,509 divisible by 3?

• Yes

• No

Multiple Choice

2520 is divisible by 6 because:

• It is divisible by 2 (even) and 5 (ends in a 0 or 5)

• The sum of the digits is 12, a multiple of 6

• It's divisible by 2 (even) and 3 (sum of digits is a multiple of 3)

• The sum of the digits is even

Multiple Choice

True or False. The number 9581 is divisible by 11.

• True

• False

Multiple Choice

True or False. The number 473 is divisible by 11.

• True

• False

Multiple Choice

If the difference of odd and even places is divisible by 11 then the number is divisible by 11.

• true

• false

Multiple Choice

462 is divisible by 3.

• True because 4 + 6 + 2 = 12 and 12 is a multiple of 3.

• True because the number in the ones place is even.

• False because the number in the ones place is not a 3, 6, or 9

• True because it contains a 6 which is a multiple of 3.

Multiple Choice

1,126 is divisible by 10. Hint: Determine if the digit in the ones place is a 0.

• True

• False

Multiple Choice

506 is divisible by 5. Hint: Determine if the number in the ones place is a 0 or a 5.

• True

• False

Multiple Choice

which states the rule of divisibility by 11?

• if the sum of all the digit is divisible by 11

• if the difference of the odd and even digit is zero or multiple of 11

• if the last 3 digit is divisible by 11

• if the sum of the odd and even digit is zero or multiple of 11

Multiple Choice

25355 is divisible by what number?

• 12

• 11

• 7

Fill in the Blanks

29 4_4, what digit should be on the blank to make it divisible by 11?

Multiple Select

which 2 number is divisible by 11?

• 83 957

• 23 782

• 99 374

• 3 403