PLEASE HELP!!!!!! PLEASE
1. Find the multiples of 7 which is greater than 56 but less than 77.
2. List all the common factors of the following: (i) 12,18,21 (ii) 20,40,35 (iii) 16,18,7
3. Write all prime numbers between 70 and 90.
4. Write the following numbers as a product of their prime factors:
(i) 70
(ii) 105
(iii) 91
Answers
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1) 63 and 70 are the multiples.
2) (i) 12= 2*2*3
18=2*3*3
21=3*7 the common factor is 3
(ii) 20=2*2*5
40=2*2*2*5
35= 5*7 the common factor is 5
(iii) 16= 2*2*2*2
18= 2*3*3
7=1*7 the common factor is 1
3) the prime numbers lying between 70 and 90 are 71, 73, 77, 79, 83 and 89.
4) (i) Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70. Prime factorization: 70 = 2 x 5 x 7
(ii) Factors of 105: 1, 3, 5, 7, 15, 21, 35, 105. Prime factorization: 105 = 3 x 5 x 7.
(iii) the prime factors of 91 are 7, 13. Therefore, the product of prime factors = 7 × 13 = 91.
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