Question

Determine whether the following numbers are prime or composite.

(1) 93
(2) 97
(3) 101
(4) 117
(5) 127
(6) 295
(7) 407
(8) 499
(9) 527
(10) 637
(11) 689
(12) 209
(13) 901
(14) 953
(15) 997

Answer 1

(1) 93
The divisors of 93 are 1, 3, 31 and 93.
Because it has more than two divisors, it is a composite number.

(2) 97
97 has only two divisors: 1 and 97. So, it is a prime number.

(3) 101
101 has only two divisors: 1 and 101. So, it is a prime number.

(4) 117
The divisors of 117 are 1, 3, 9, 13, 39 and 117.
Because it has more than two divisors, it is a composite number.

(5) 127
127 has only two divisors: 1 and 127. So, it is a prime number.

(6) 295
The divisors of 295 are 1, 5, 59 and 295.
Because it has more than two divisors, it is a composite number.

(7) 407
The divisors of 407 are 1, 11, 37 and 407.
Because 407 has more than two divisors, it is a composite number.

(8) 499
499 has only two divisors: 1 and 499. So, it is a prime number.

(9) 527
The divisors of 527 are 1, 17, 31 and 527.
Because 527 has more than two divisors, it is a composite number.

(10) 637
The divisors of 637 are 1, 7, 13, 49, 91 and 637.
Because 637 has more than two divisors, it is a composite number.

(11) 689
The divisors of 689 are 1, 13, 53 and 689.
Because 689 has more than two divisors, it is a composite number.

(12) 209
The divisors of 209 are 1, 11, 19 and 209.
Because 209 has more than two divisors, it is a composite number.

(13) 901
The divisors of 901 are 1, 17, 53 and 901.
Because 901 has more than two divisors, it is a composite number.

(14) 953
953 has only two divisors: 1 and 953. So, it is a prime number.

(15) 997
997 has only two divisors: 1 and 997. So, it is a prime number.