Q is 3
Step-by-step explanation:
The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, ......
- They have two factors only 1 and itself
- All the them are odd numbers except 2 is an even number
- 1 is not a prime number because has only one factor
∵ P, Q and R are three prime numbers
∵ 3P + 7Q + 15R = 102
- Factorize 102 into prime numbers
∵ 102 ÷ 2 = 51
∵ 51 ÷ 3 = 17
∴ The prime factorization of 102 is 2 × 3 × 17
∵ 2 , 3 , 17 are prime numbers
- Put them in the equation above to find which one is P and
which is Q and which is R
∵ R has the greatest coefficient, then put R = the smallest prime 2
∵ P has the smallest coefficient, then put P = the greatest prime 17
∴ Q = The last prime 3
- Let us check the value of the left hand side
∵ Left hand side = 3(17) + 7(3) + 15(2) = 51 + 21 + 30 = 102
∵ Right hand side = 102
∴ The prime numbers are P = 17 , Q = 3 , R = 2
Q is 3
Learn more:
You can learn more about the prime numbers in brainly.com/question/4550858
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