Question

Answer the following questions.
Find the highest common factor of 36 and 84
How many factors does 36 have?
Express 132 as the sum of two odd primes.
What should be added to 4057 to make it divisible by 9?
Find the HCF of 95, 105 and 115 by continued division​

Answer 1

Answer:

1. HCF of 36 and 84 is 12

2. factors of 36 are 1,2,3,4,6,9,12,18,36 that is 9

3. 101 + 31 = 132

4. 2

5. first 105 ÷ 95 remainder ÷ 115 and answer = 5

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Answer 2

Answer:

1 - factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.

HCF ( Highest common factor ) = 12

2 - There are 9 factors does 36 have.

   132 = 73 + 59 ( sum of odd primes)

3 - The number 4057 is not divisible by as 4+0+5+7= 16 which is not divisible by . So we should add 2 to make 4057, 4059 which is divisible by 9.  

4 - 95,105,115

= first no 95 ÷5=19÷19=1

= second no105÷5=25÷5=5÷5=1

= third no 115÷5=23÷23=1

= common no =5,19. 5,5,5. 5,23

5=5times 19=1time 23=1 time

ANSWER : HCF=5

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