SOLUTION: Which of the following numbers has the same set of prime factors as 315 ? (A) 15 (B) 21 (C) 35 (D) 105 (E) 125

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Question 253782: Which of the following numbers has the same set of prime factors as 315 ?
(A) 15 (B) 21 (C) 35 (D) 105 (E) 125
Found 2 solutions by Edwin McCravy, MRperkins:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Which of the following numbers has the same set of prime factors as 315

315 = 3x3x5x7       set of prime factors = {3,5,7}

(A)  15 = 3x5       set of prime factors = {3,5}

(B)  21 = 3x7       set of prime factors = {3,7}

(C)  35 = 5x7       set of prime factors = {5,7}

(D) 105 = 3x5x7     set of prime factors = {3,5,7}

(E) 125 = 5x5x5     set of prime factors = {5}

Looks like (D) is the only one.

Edwin
Answer by MRperkins(300)   (Show Source): You can put this solution on YOUR website!
email me at justin.sheppard.tech@hotmail.com and I will be happy to answer this one for you. I will post the answer shortly if I am unable to work it with you.
15: 1,3,5
21: 1,3,7
35: 1,5,7
105: 1,3,5,7
125: 1,5
315: 1,3,5,7
.
These are the PRIME numbers that compose the given numbers. Remember that prime numbers can not be divided by an integer and give another integer.
.
Email me with questions,
Justin
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