Is 3517 is a prime number

Is 3517 is a prime number or not ?

  • As we already know that, the number having factors 1 and the number itself is the prime number.
  • And numbers having more than these two factors are the composite numbers.
  • To check whether the number 3517 is prime or not first we have to find its factors.

 

Factors of 3517:

  • If we have taken numbers from 1, 2, 3…for checking factors of 3517, we found that 3517 has factors 1 and the number 3517 itself. Hence, we must say that 3517 is a prime number.
  • Thus, 3517 is the prime number.
  • Here, 3517 is the odd prime number.
  • If we multiply 3517 by 1, 2, 3, then we get the multiples of 3517 which are 3517, 7034, 10551…and so on.

 

About the number 3517:

  • 3517 has only two factors which are 1 and the number itself and hence 3517 is the prime number.
  • 3517 is the odd prime number and it is not the perfect square also.
  • If we divide 3517 by 1 and the number itself then we get remainder as zero. Hence, 1 and 3517 are the factors of 3517.

Note:

  • 3517 is not the perfect square.
  • Factors of 3517: 1 and 3517
  • Prime factors of 3517: 3517 (since, 3517 is the only one prime number which is the factor of 3517.)

 

Conclusion:

  • 3517 is the prime number which has factors 1 and 3517.
  • And hence, 3517 is the prime number.

 

Multiple Choice Questions:

 

1) 3517 is a

a) odd number

b) Prime number

c) Composite number

d) Both a and b

Ans: d) both a and b

 

2) The prime factors of a prime number 3517 are

a) 1

b) 3517

c) Both a and b

d) 0

Ans: b) 3517

 

3) 1 is the not prime factor of 3517 because

a) It is the prime number

b) 1 is neither prime nor composite number

c) Both a and b

d) Given statement is false

Ans: b) 1 is neither prime nor composite number

Updated: November 18, 2021 — 2:21 pm

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