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Q. Find the HCF of the following:
(i) 24 and 36         (ii) 15, 25 and 30
(iii) 8 and 12         (iv) 12, 16 and 28

(i) 24 and 36  24 = 2 2 2 3 36 = 2 2 3 3 HCF = 2 2 3 = 12 (ii) 15, 25 and 30 15 = 3 5  25 = 5 5  30 = 2 3 5 HCF = 5 (iii) 8 and 12  8 = 2 2 2 12 = 2 2 3 HCF = 2 2 = 4 (iv) 12, 16 and 28 12 = 2 2 3  16 = 2 2 2 2 28 = 2 2 7 HCF = 2 2 = 4

Q. Write the prime factorizations of 16, 28, 38.

prime factorizations of 16= 2×2×2×2 28= 2×2×7 38= 2×19

Q. Find the common factors of:
(a) 8, 20           (b) 9, 15

The common factors of the following are: (a) 8, 20            Hence, the common factors are  (b) 9, 15 Hence, the common factors are

Q. Observe that 2 × 3 + 1 = 7 is a prime number. Here, 1 has been added to a multiple of 2 to get a prime number. Can you find some more numbers of this type?

some more numbers of this type are : 2 2+1=5 2 5+1=11 2 6+1=13

Q. Find the possible factors of 45, 30 and 36.

The possible factor of  45=1,3,5,9,15,45 30=1,2,3,5,6,10,15,30 36=1,2,3,4,6,9,12,18,36
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