Q8 of 55 Page 61

The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.

5 + 7 = 12, it is divisible by 4,


15 + 17 = 32, divisible by 4,


17 + 19 = 36, divisible by 4,


21 + 23 = 44, divisible by 4.


Therefore, the sum of two consecutive odd numbers is divisible by 4.


More from this chapter

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Find all the prime factors of 1729 and arrange them in ascending order. Now state the relation, if any; between two consecutive prime factors.

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The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.

 9

In which of the following expressions, prime factorisation has been done?

(a) 24 = 2 × 3 × 4


(b) 56 = 7 × 2 × 2 × 2


(c) 70 = 2 × 5 × 7


(d) 54 = 2 × 3 × 9

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Determine if 25110 is divisible by 45.