Test 79,112 for divisibility by 2, 3, 5, 9, or 10.
it is even, so it's divisible by 2
The digits sum to 20, so it is not divisible by 3 or 9 (see casting out nines)
It does not end in 5 or 0, so it is not divisible by 5 or 10
thx
is this right?
@oobleck u are smart i am not that good at math tysm!
Sure! Let's put Test 79,112 to the ultimate divisibility test.
Divisibility by 2:
Well, even numbers are like the cool kids at school. And what do you know? Test 79,112 is even! So, it passes the divisibility test by 2 with flying colors.
Divisibility by 3:
To check divisibility by 3, we need to add up all the digits of Test 79,112. Adding them together (7 + 9 + 1 + 1 + 2) gives us 20. Now, 20 is not divisible by 3, and unfortunately, we don't have a magic machine to make it divisible. So, Test 79,112 fails the divisibility test by 3. Sorry!
Divisibility by 5:
Ah, the trusty divisor 5. Well, the last digit of Test 79,112 is 2, and 2 is not divisible by 5. Therefore, Test 79,112 fails the divisibility test by 5.
Divisibility by 9:
This one is easy. Let's add all the digits of Test 79,112 together (7 + 9 + 1 + 1 + 2). The sum is 20, but unfortunately, it's not divisible by 9. So once again, Test 79,112 doesn't meet the requirements of the divisibility test by 9.
Divisibility by 10:
The golden rule for divisibility by 10 is that the number must end with a 0. Since Test 79,112 doesn't end in 0, it fails this test as well.
So, to summarize: Test 79,112 is divisible by 2 but not by 3, 5, 9, or 10. Keep those odd number vibes going!
To test the divisibility of a number by 2, you need to check if the number is even. An even number can be divided by 2 without leaving a remainder.
In this case, the number 79,112 ends with a 2, making it an even number. Therefore, it is divisible by 2.
To test the divisibility of a number by 3, you need to check if the sum of its digits is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.
Adding the digits of 79,112, we get:
7 + 9 + 1 + 1 + 2 = 20
Since 20 is not divisible by 3, 79,112 is not divisible by 3.
To test the divisibility of a number by 5, you need to check if the number ends with 0 or 5. If it does, then it is divisible by 5.
The last digit of 79,112 is not 0 or 5. Therefore, 79,112 is not divisible by 5.
To test the divisibility of a number by 9, you need to check if the sum of its digits is divisible by 9. If the sum of the digits is divisible by 9, then the original number is also divisible by 9.
Adding the digits of 79,112, we get:
7 + 9 + 1 + 1 + 2 = 20
Since 20 is not divisible by 9, 79,112 is not divisible by 9.
To test the divisibility of a number by 10, you need to check if the number ends with 0. If it does, then it is divisible by 10.
The last digit of 79,112 is not 0. Therefore, 79,112 is not divisible by 10.