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# Number Theory

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Some of the following integers are prime.  Select all the prime integers in the list.

1 2 3 4 5 6 7 8 9 10

Jun 15, 2024

#1
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A prime number is a number only divisble by 1 and itself.

Let's take a look at the numbers we have.

First, we have \(1\). It is only divisble by 1 and itself, but it only has one true factor since \(1=1*1\), so it is not consdered prime.

Next, we have 2. It is divisble as \(2 = 2*1\), so it is prime.

Going through the list, \(3= (3*1), 5 = (5*1), 7=(1*7)\) are all prime numbers.

However, \(4 = (2*2), 6 = (2*3), 8 = (2*4), 9=(3*3), 10=(2*5)\)are all composite numbers.

So our final answer is \(2,3,5,7\)

Thanks! :)

Jun 16, 2024

#1
+1280
+1

A prime number is a number only divisble by 1 and itself.

Let's take a look at the numbers we have.

First, we have \(1\). It is only divisble by 1 and itself, but it only has one true factor since \(1=1*1\), so it is not consdered prime.

Next, we have 2. It is divisble as \(2 = 2*1\), so it is prime.

Going through the list, \(3= (3*1), 5 = (5*1), 7=(1*7)\) are all prime numbers.

However, \(4 = (2*2), 6 = (2*3), 8 = (2*4), 9=(3*3), 10=(2*5)\)are all composite numbers.

So our final answer is \(2,3,5,7\)

Thanks! :)

NotThatSmart Jun 16, 2024