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I am doing my homework and I don't get the consept of this question. Can any of you help?

Here it is;

This whole number is between 30 and 40. It has only two prime factors whose sum is 5. What is the number?

I think that it is 36, but I could be totally wrong.

Thanks in advance!

Llama on!

MamaLlama

 Nov 30, 2014

Best Answer 

 #2
avatar+247 
+5

CPhill is right,

31, 37 are prime.

32 has only 1 prime factor".......... 2

33=3 x 11

34=17 x 2

35=7 x 5

38=19 x 2

39=13 x 3

this would only leave 36= 2^2 x 3^2

soo...... The prime factors are 2 and 3...... And these, indeed, sum to 5!!!! So he is right

 Dec 1, 2014
 #1
avatar+129852 
+5

31, 37  are prime

32 only has one prime factor ..... 2

33 = 3 x 11

34 = 17 x 2

35 = 7 x 5

38 = 19 x 2

39 = 13 x 3

This leaves only 36 = 2^2 x 3^2

So...the prime factors are 2 and 3....and these, indeed, sum to 5  !!!!

 

 Nov 30, 2014
 #2
avatar+247 
+5
Best Answer

CPhill is right,

31, 37 are prime.

32 has only 1 prime factor".......... 2

33=3 x 11

34=17 x 2

35=7 x 5

38=19 x 2

39=13 x 3

this would only leave 36= 2^2 x 3^2

soo...... The prime factors are 2 and 3...... And these, indeed, sum to 5!!!! So he is right

Cue123smile Dec 1, 2014

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