Mathematics, 08.07.2019 13:30 chloe081

Is 23,27,and 29 a prime number? show ur work

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Answer from: saren47

23 is a prime number because it is only divisible by (has factors of) 1 and itself (23).
27 is NOT a prime number because it is divisible by more than 1 and itself (also 3 and 9).
29 is a prime number because it is only divisible by 1 and 29.

Answer from: rodneisha1313

Take 23 and divide by 2.
23/2=11.5
That means all the numbers 12 and above would be repeating numbers.

Example:
4*8 is the same as 8*4

So that's means we have the numbers 2-12:
2,3,4,5,6,7,8,9,10,11,12

So because 23 isn't an even number, we know that no even number is a factor of 23.

So now we have the numbers
3,5,7,9,11.

Now the rule for 3 is adding the digits and if the sum is a multiple of three, than it is a factor of three.
2+3=5
Since five isn't divisible by three, we know that 3 is not a factor of 23. Because we know three is not a factor, we also know 9 is not a factor.

Now we have the numbers
5,7,11

The rule for 5 is as follows: if the number ends in a 0 or a 5, then 5 is a factor or the number.

Since 23 does not end in 0 nor 5, we know five is not a factor.

Now we have the numbers
7,11

To find 7 and 11, we are going to divide 23 by each. If it comes out evenly, then it is a factor.

23/7=3+(2/7)
23/11=2+(1/11)

Since neither came out clean, we know that neither are factors. From the information above, we can conclude 23 is a prime number.

Take 27 and divide by 2.
27/2=13.5
That means all the numbers 14 and above would be repeating numbers.

Example:
4*8 is the same as 8*4

So that's means we have the numbers 2-14:
2,3,4,5,6,7,8,9,10,11,12,13,14

So because 27 isn't an even number, we know that no even number is a factor of 27.

So now we have the numbers
3,5,7,9,11,13

Now the rule for 3 is adding the digits and if the sum is a multiple of three, than it is a factor of three.
2+7=9
Since 9 is divisible by three, we know that 27 is not a prime number

Take 29 and divide by 2.
29/2=14.5
That means all the numbers 15 and above would be repeating numbers.

Example:
4*8 is the same as 8*4

So that's means we have the numbers 2-15:
2,3,4,5,6,7,8,9,10,11,12,13,14,15

So because 29 isn't an even number, we know that no even number is a factor of 29.

So now we have the numbers
3,5,7,9,11,13,15

Now the rule for 3 is adding the digits and if the sum is a multiple of three, than it is a factor of three.
2+9=11
Since 11 isn't divisible by three, we know that 3 is not a factor of 29. Because we know three is not a factor, we also know 9 and 15 are not factors

Now we have the numbers
5,7,11,13

The rule for 5 is as follows: if the number ends in a 0 or a 5, then 5 is a factor or the number.

Since 29 does not end in 0 nor 5, we know five is not a factor.

Now we have the numbers
7,11,13

To find 7, 11, 13, we are going to divide 29 by each. If it comes out evenly, then it is a factor.

29/7=4+(1/7)
29/11=2+(7/11)
29/13=2+(3/13)

Since none of them came out clean, we know that none of them are factors. From the information above, we can conclude 29 is a prime number.

Answer from: Quest

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

$m\angle qrt=156^o$

$m\angle qst=156^o$

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

Answer from: Quest

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

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Is 23,27,and 29 a prime number? show ur work...