QuestionIs 7264 divisible by 3, 4, or 5? Answer with Yes or No for each.

Studdy Solution

STEP 1

Assumptions1. The number in question is7264. We are checking for divisibility by3,4, and5

STEP 2

To check if a number is divisible by, we sum the digits of the number. If the sum is divisible by, then the original number is also divisible by.
$Sum\, of\, digits =7 +2 +6 +4$

STEP 3

Calculate the sum of the digits.
$Sum\, of\, digits =7 +2 +6 + =19$

STEP 4

Check if the sum of the digits is divisible by3.
$19 \mod3 =1$ Since the remainder is not0,7264 is not divisible by3.

STEP 5

To check if a number is divisible by4, we look at the last two digits of the number. If the number formed by the last two digits is divisible by4, then the original number is also divisible by4.
The last two digits of7264 are64.

STEP 6

Check if64 is divisible by4.
$64 \mod4 =0$ Since the remainder is0,7264 is divisible by4.

STEP 7

To check if a number is divisible by5, we look at the last digit of the number. If the last digit is0 or5, then the number is divisible by5.
The last digit of7264 is4.

STEP 8

Since the last digit is not0 or5,7264 is not divisible by5.
So, the answers areb. No,7264 is not divisible by3. c. Yes,7264 is divisible by4. d. No,7264 is not divisible by5.

Was this helpful?

QuestionIs 7264 divisible by 3, 4, or 5? Answer with Yes or No for each.

Studdy Solution

STEP 1

Assumptions1. The number in question is7264. We are checking for divisibility by3,4, and5

STEP 2

To check if a number is divisible by, we sum the digits of the number. If the sum is divisible by, then the original number is also divisible by.
$Sum\, of\, digits =7 +2 +6 +4$

STEP 3

Calculate the sum of the digits.
$Sum\, of\, digits =7 +2 +6 + =19$

STEP 4

Check if the sum of the digits is divisible by3.
$19 \mod3 =1$ Since the remainder is not0,7264 is not divisible by3.

STEP 5

To check if a number is divisible by4, we look at the last two digits of the number. If the number formed by the last two digits is divisible by4, then the original number is also divisible by4.
The last two digits of7264 are64.

STEP 6

Check if64 is divisible by4.
$64 \mod4 =0$ Since the remainder is0,7264 is divisible by4.

STEP 7

To check if a number is divisible by5, we look at the last digit of the number. If the last digit is0 or5, then the number is divisible by5.
The last digit of7264 is4.

STEP 8

Since the last digit is not0 or5,7264 is not divisible by5.
So, the answers areb. No,7264 is not divisible by3. c. Yes,7264 is divisible by4. d. No,7264 is not divisible by5.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionIs 7264 divisible by 3, 4, or 5? Answer with Yes or No for each.

Studdy Solution

STEP 1

Assumptions1. The number in question is7264. We are checking for divisibility by3,4, and5

STEP 2

To check if a number is divisible by, we sum the digits of the number. If the sum is divisible by, then the original number is also divisible by.Sum of digits=7+2+6+4Sum\, of\, digits =7 +2 +6 +4Sumofdigits=7+2+6+4

STEP 3

Calculate the sum of the digits.Sum of digits=7+2+6+=19Sum\, of\, digits =7 +2 +6 + =19Sumofdigits=7+2+6+=19

STEP 4

Check if the sum of the digits is divisible by3.19mod 3=119 \mod3 =119mod3=1Since the remainder is not0,7264 is not divisible by3.

STEP 5

To check if a number is divisible by4, we look at the last two digits of the number. If the number formed by the last two digits is divisible by4, then the original number is also divisible by4.The last two digits of7264 are64.

STEP 6

Check if64 is divisible by4.64mod 4=064 \mod4 =064mod4=0Since the remainder is0,7264 is divisible by4.

STEP 7

To check if a number is divisible by5, we look at the last digit of the number. If the last digit is0 or5, then the number is divisible by5.The last digit of7264 is4.

STEP 8

Since the last digit is not0 or5,7264 is not divisible by5.So, the answers areb. No,7264 is not divisible by3. c. Yes,7264 is divisible by4. d. No,7264 is not divisible by5.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

To check if a number is divisible by, we sum the digits of the number. If the sum is divisible by, then the original number is also divisible by.
$Sum\, of\, digits =7 +2 +6 +4$

Calculate the sum of the digits.
$Sum\, of\, digits =7 +2 +6 + =19$

Check if the sum of the digits is divisible by3.
$19 \mod3 =1$ Since the remainder is not0,7264 is not divisible by3.

To check if a number is divisible by4, we look at the last two digits of the number. If the number formed by the last two digits is divisible by4, then the original number is also divisible by4.
The last two digits of7264 are64.

Check if64 is divisible by4.
$64 \mod4 =0$ Since the remainder is0,7264 is divisible by4.

To check if a number is divisible by5, we look at the last digit of the number. If the last digit is0 or5, then the number is divisible by5.
The last digit of7264 is4.

Since the last digit is not0 or5,7264 is not divisible by5.
So, the answers areb. No,7264 is not divisible by3. c. Yes,7264 is divisible by4. d. No,7264 is not divisible by5.