Prime Numbers

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SAT Math › Prime Numbers

Questions 1 - 10
1

Which number is prime?

Explanation

A prime number is a number with factors of one and itself.

Let's try to find the factors.

It may not be easy to see as a composite number, but if you know the divisibility rule for which is double the last digit and subtract from the rest , you will see is not prime.

2

Which number is prime?

Explanation

A prime number is a number with factors of one and itself.

Let's try to find the factors.

It may not be easy to see as a composite number, but if you know the divisibility rule for which is double the last digit and subtract from the rest , you will see is not prime.

3

The sum of the first seven prime numbers divided by two is

58

29

33

61

24

Explanation

The first seven primes are 2, 3, 5, 7, 11, 13, and 17. Don't forget about 2, the smallest prime number, and also the only even prime! Adding these seven numbers gives a sum of 58, and 58/2 = 29.

4

The sum of the first seven prime numbers divided by two is

58

29

33

61

24

Explanation

The first seven primes are 2, 3, 5, 7, 11, 13, and 17. Don't forget about 2, the smallest prime number, and also the only even prime! Adding these seven numbers gives a sum of 58, and 58/2 = 29.

5

Which of the following is a prime number?

Explanation

A prime number is a number with factors of one and itself.

Let's try to find the factors.

It may not be easy to see as a composite number, but if you know the divisibility rule for which is double the last digit and subtract from the rest, you will see is not prime. The divisibility rule for is add the outside digits and if the sum matches the sum then it is divisible . The divisibility rule for is if the digits have a sum divisible by , then it is . All even numbers are composite numbers with the exception of . So with these analyses, answer is .

6

Which of the following is a prime number?

Explanation

A prime number is a number with factors of one and itself.

Let's try to find the factors.

It may not be easy to see as a composite number, but if you know the divisibility rule for which is double the last digit and subtract from the rest, you will see is not prime. The divisibility rule for is add the outside digits and if the sum matches the sum then it is divisible . The divisibility rule for is if the digits have a sum divisible by , then it is . All even numbers are composite numbers with the exception of . So with these analyses, answer is .

7

Which is not prime?

Explanation

Since all the numbers are odd and don't end with a , let's check the basic divisbility rule. The divisibility rule for is if the digits have a sum divisible by , then it is.

Based on this analysis, only is divisible by and therefore not prime and is our answer.

8

Which is not prime?

Explanation

Since all the numbers are odd and don't end with a , let's check the basic divisbility rule. The divisibility rule for is if the digits have a sum divisible by , then it is.

Based on this analysis, only is divisible by and therefore not prime and is our answer.

9

Which is prime?

Explanation

This will require us to know the divisibility rule of . The reason for this choice is that some of the numbers are palindromes like so we eliminate . For the three digit numbers, the divisibility rule for is add the outside digits and if the sum matches the sum then it is divisible. Let's see.

Based on this test, is not divisible by and is our answer.

10

Which is prime?

Explanation

This will require us to know the divisibility rule of . The reason for this choice is that some of the numbers are palindromes like so we eliminate . For the three digit numbers, the divisibility rule for is add the outside digits and if the sum matches the sum then it is divisible. Let's see.

Based on this test, is not divisible by and is our answer.

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