Question

Is Mia correct?

17, 37 and 47 end in 7 and are prime numbers, so 57 and 67 must also be prime number

Answer 1

no she is not correct

just because it ends in 7 does not mean that it is prime

Explanation:

57 is divisible by 1, 3, 17, and 57

67 is a prime number and is only divisible by 1 and itself

a thanks would be appreciated

Answer 2

Hello there! Mia is incorrect.

Mia’s reasoning likely was because the majority of numbers in the set correspond after one another. The following numbers are prime:

• 7 is prime because there are only 2 numbers less than 7 that can be multiplied to give us 7, those being 1 and 7.

• 17 is a prime number because, like 7, there are only two whole numbers that can be multiplied to result in 17. Those two factors are 1 and 17.

• 37 is a prime number because it simply is only divisible by itself and 1.

• 47 is a prime number because it is only divisible by itself and 1.

• 67 is also a prime number! This is because 1 and 67 are the only two numbers you can multiply to result in 67 as a whole number.

On the other hand, 57 itself is a composite number. This means there are more factors than just 1 and 57. Some of these additional factors include 3 and 19. This gives us a total of 4 factors, those being 1, 3, 19, and 57.

Mia’s presumption is incorrect. Not all numbers that correspond one to another abide by the same rules and have the same meanings. If you need any extra help, let me know and I will gladly assist you.