Question

Ami and Ria are playing a game where one of them would pick up a card and the other would guess the number. Ami picked up a card and read the rules to Ria which were: 1. It is an odd number 2. It is a composite number divisible by three different prime numbers. Which of the following would be Ria's correct guess? A: 30 B: 75 C: 189 D: 315

Answer 1

Answer:

$\huge \boxed{\mathrm{\bold{D.} \ 315}}$

Step-by-step explanation:

Odd numbers from the list are 75, 189, and 315.

75, 189, and 315, are composite numbers.

Prime factorization of 75 = 3 × 5 × 5

Prime factorization of 189 = 3 × 3 × 3 × 7

Prime factorization of 315 = 3 × 3 × 5 × 7

315 is an odd number, and a composite number that is divisible by 3 different prime numbers.

Answer 2

Step-by-step explanation:

Odd numbers from the list are 75, 189, and 315.

75, 189, and 315, are composite numbers.

Prime factorization of 75 = 3 × 5 × 5

Prime factorization of 189 = 3 × 3 × 3 × 7

Prime factorization of 315 = 3 × 3 × 5 × 7

315 is an odd number, and a composite number that is divisible by 3 different prime numbers.