divisible by 2 and 4 – Discussion Forum

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Piyush365

Asked: October 1, 2026In: Class 9 Maths

Consider the statement: ‘If a number is divisible by 8, then it is divisible by both 2 and 4’. (i) Justify the statement. (ii) Recall the divisibility shortcuts that we have studied for different numbers. To check whether a given number is divisible by 8, is it enough to check whether it is divisible by 2 and 4? Why or why not?

The statement holds because 2 and 4 divide 8. However, checking 2 and 4 is not enough for 8; for instance, 12 is divisible by both 2 and 4, but not 8. Class 9 Maths Ganita Manjari Part 2 chapter 9 ...