Question

1. Using divisibility rule, check these following numbers are divisible by 4 and by 8.
(a) 572
(b) 14560
2. Using divisibility rule,check these following numbers are divisible by 6.
(a) 17852
(b) 4335
3. Write all prime and composite numbers separately between 40 and 50.
4. Fill in the blanks.
(a) A number which has only two factors is called a
(b) A number which has more than two factors is called a__
(c) 1 is neither
nor
(d) The smallest prime number is
(e) The smallest even number is_
(f) _
is the factor of every number.​

Answer 1

Answer:

1. A number is divisible by 4 if the last two digits of the number is divisible by 4. A number is divisible by 8 if the the last three digits of the number is divisible by 8.

(a) In 572, the last two digits are 72. 72 is divisible by 4. Hence, 572 is divisible by 4. 572 is not divisible by 8.

(b) In 14560, the last two digits are 60. 60 is divisible by 4. Hence, 14560 is divisible by 4. The last three digits are 560. 560 is divisible by 8. Hence, 14560 is also divisible by 8.

2. A number is divisible by 6 if the number is divisible by 2 and 3.

(a) 17852 is divisible by 2 but not divisible by 3. Hence, 17852 is not divisible by 6.

(b) 4335 is divisible by 3 but not divisible by 2. Hence, 4335 is not divisible by 6.

3. Prime numbers = 41, 43, 47.

Composite numbers = 42, 44, 45, 46, 48, 49.

4.(a) prime number

(b) composite number

(c) prime, composite

(d) 2

(e) 2

(f) 1

Answer 2

Answer:

1. b) 14560
2. b) 4335
3. prime numbers between 40 and 50 are 41,43 and 47. so, according to the given information , our composite number is sandwiched between two primes. hence, the composite number is 42.
4. a) prime number.

b) composite number.

c) prime number or composite number.

d) 2

e) 2

f) 1

Step-by-step explanation:

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