QQuestionMathematics
QuestionMathematics
Which of the following numbers is 90 divisible by?
2
3
4
5
6
9
10
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Answer
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Step 1:: To determine which of the given numbers is 90 divisible by, we need to check if 90 can be evenly divided by each number without leaving a remainder.
Step 2:: Check if 90 is divisible by 2.
Since 90 is an even number, it is divisible by 2.
Step 3:: Check if 90 is divisible by 3.
We can do this by summing its digits: 9 + 0 = 9. Since the sum is divisible by 3, 90 is also divisible by 3.
Step 4:: Check if 90 is divisible by 4.
The number formed by the last two digits, 90, is divisible by 4. So, 90 is divisible by 4.
Step 5:: Check if 90 is divisible by 5.
Since 90 ends in 0, it is divisible by 5.
Step 6:: Check if 90 is divisible by 6.
For a number to be divisible by 6, it must be divisible by both 2 and 3. Since 90 is divisible by both 2 and 3 (as determined in Steps 2 and 3), it is also divisible by 6.
Step 7:: Check if 90 is divisible by 9.
We did this in Step 3 when we summed the digits of 90 and found that it was divisible by 3. Since a number is divisible by 9 if its digits sum to a number that is divisible by 9, 90 is also divisible by 9.
Step 8:: Check if 90 is divisible by 10.
Since 90 ends in 0, it is divisible by 10.
Step 9:: We have determined that 90 is divisible by 2, 3, 4, 5, 6, 9, and 10.
Final Answer
90 is divisible by 2, 3, 4, 5, 6, 9, and 10.
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