Select all the digits that make this statement true.41 573 03? is divisible by 6.0948Submit
Question
Select all the digits that make this statement true.
41 573 03?
is divisible by 6.0948
.
Solution
To determine if a number is divisible by 6, it must meet two conditions: it must be divisible by 2 (i.e., it is an even number) and it must be divisible by 3 (i.e., the sum of its digits is divisible by 3).
-
For a number to be divisible by 2, its last digit must be even (0, 2, 4, 6, or 8).
-
For a number to be divisible by 3, the sum of its digits must be divisible by 3. The sum of the digits in the number 4157303? is 23 + ?.
Let's find the possible values for ?:
If ? = 0, the sum of the digits is 23 which is not divisible by 3. If ? = 1, the sum of the digits is 24 which is divisible by 3. But 41573031 is not an even number. If ? = 2, the sum of the digits is 25 which is not divisible by 3. If ? = 3, the sum of the digits is 26 which is not divisible by 3. If ? = 4, the sum of the digits is 27 which is divisible by 3. But 41573034 is not an even number. If ? = 5, the sum of the digits is 28 which is not divisible by 3. If ? = 6, the sum of the digits is 29 which is not divisible by 3. If ? = 7, the sum of the digits is 30 which is divisible by 3. But 41573037 is not an even number. If ? = 8, the sum of the digits is 31 which is not divisible by 3. If ? = 9, the sum of the digits is 32 which is not divisible by 3.
Therefore, there are no digits that can make the statement "41 573 03? is divisible by 6" true.
Similar Questions
Select all the digits that make this statement true.644 76? is divisible by 9.9670Submit
A six digit number is divisible by 33. If 54 is added to the number then the new number formed will also be divisible by
The digits indicated by * in 3422213** so that this number is divisible by 99 areOptions1,93,74,65,5
Which of the number is divisible by 3,7 and 9 all three?Options :4725463846514598
The least number, which must be added to 6709 to make it exactly divisible by 9, isOptions :5378
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.