###### Asked in Math and Arithmetic

Math and Arithmetic

# Is 24523 is divisible by 3?

## Answer

###### Wiki User

###### February 19, 2013 3:07PM

No.

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### Is 5193 a prime number?

###### Asked in Math and Arithmetic

### Is 313 divisble by 3?

###### Asked in Math and Arithmetic

### What are the divisibility rule for 6?

To be divisible by 6, the number must be divisible by
both 2 and 3:
To be divisible by 2 the last digit must be even, ie one of {0,
2, 4, 6, 8};
To be divisible by 3, sum the digits of the number and if this
sum is divisible by 3, then the original number is divisible by
3.
As the test can be repeated on the sum, repeat the summing until
a single digit remains; only if this number is one of {3, 6, 9} is
the original number divisible by 3.
If the number is not divisible by 2 or 3 (or both) then the
number is not divisible by 6.
examples:
126
Last digit is even so it is divisible by 2
1 + 2 + 6 = 9 which is divisible by 3, so it is divisible by
3
→ 126 is divisible by both 2 and 3, so it is divisible by 6
124
Last digit is even so it is divisible by 2
1 + 2 + 4 = 7 which is not divisible by 3, so it is not
divisible by 3
→ 126 is divisible by 2 but not divisible by 3, so it is not
divisible by 6
123
Last digit is not even so it is not divisible by 2
We can stop at this point as regardless of whether it is
divisible by 3 or not, it will not be divisible by 6. However, for
completeness:
1 + 2 + 3 = 6 which is divisible by 3, so it is divisible by
3
→ 123 is divisible by 3 but not divisible by 2, so it is not
divisible by 6
121
Last digit is not even so it is not divisible by 2
We can stop at this point as regardless of whether it is
divisible by 3 or not, it will not be divisible by 6. However, for
completeness:
1 + 2 + 1 = 4 which is not divisible by 3, so it is not
divisible by 3
→ 121 is not divisible by either 2 or 3, so it is not divisible
by 6

###### Asked in Math and Arithmetic, Factoring and Multiples

### Is 234 divisible by 3 6 and 9?

Using the tests for divisibility:
Divisible by 3:
Add the digits and if the sum is divisible by 3, so is the original
number:
2 + 3 + 4 = 9 which is divisible by 3, so 234 is divisible by
3
Divisible by 6:
Number is divisible by 2 and 3:
Divisible by 2:
If the number is even (last digit divisible by 2), then the whole
number is divisible by 2.
234 is even so 234 is divisible by 2.
Divisible by 3:
Already shown above to be divisible by 3.
234 is divisible by both 2 & 3 so 234 is divisible by 6
Divisible by 9:
Add the digits and if the sum is divisible by 9, so is the original
number:
2 + 3 + 4 = 9 which is divisible by 9, so 234 is divisible by
9
Thus 234 is divisible by all 3, 6 & 9.

###### Asked in Prime Numbers

### Is 1 trillion 17 a prime number?

Since the sum of the digits is divisible by 3, the original
number is also divisible by 3.
Since the sum of the digits is divisible by 3, the original number
is also divisible by 3.
Since the sum of the digits is divisible by 3, the original number
is also divisible by 3.
Since the sum of the digits is divisible by 3, the original number
is also divisible by 3.