Question

Which of the following statements are correct?

(i) 1 is a composite number.

(ii) All the odd numbers are the prime numbers.

(iii) A composite numbers has at least 3 factors.

(iv) A number is the greatest factor of itself.(v) 1 is a factor of every number.

(vi) The multiples of a number are limited.

(vii) A prime number is always even

(viii) A number is either composite or prime.

(ix) A prime number has only two factors.

(x) Every multiple of a number is exactly divisible by the number.​

Answer 1

Answer:

(iii),(iv),(v),(ix),(x)

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

i ) FALSE

reason ;- A prime number has exactly two factors so 1 isn't prime. A composite number has more than 2 factors, so 1 isn't composite.

ii) FALSE

reason ;- no not necessarily for example 17 is a odd number but not a composite number.

iii) TRUE

reason ;- because all composite number  constitute of more than 2 factors

iv) TRUE

reason ;- For example the factors of the number 12 are the numbers 1, 2, 3, 4, 6 and 12. Notice that the smallest factor is always 1 and the biggest factor is always the number itself.

v) TRUE

reason ;- since in if yuh take the factors of any number yuh will find each number having 1 as a factor so hence its true.

vi) FALSE

reason;-  The number of multiples of a given number is finite is a false statement. The number of multiples of a given number is infinite

for example

Multiples of 2 = 2,4,6,8,10,…..

Multiples of 3 = 3,6,9,12,15,18,…

Multiples of 4 = 4, 8, 12, 16, 120, 24….

∴ The number of multiples of a given number is not finite number.

vii) FALSE

reason;- not necessarily because 3 is prime and an odd number.

viii)  FALSE

reason;- since numbers like 0 & 1 is neither composite nor prime numbers, so its false that all numbers are prime or composite

ix) TRUE

reason;-  becoz a prime only have two factors which are the number itself and 1 for example ----   2 = 1 X 2

x) TRUE

since all number's multiple  can be divisible by he number , which is ultimately true let take an example

49 therefore it is an multiple of 7 , so by dividing 49 with 7 we can say that 49 is divisible by 7

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