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# What is the sum of all the prime factors of 220 and 330?

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
What is the sum of all the prime factors of 220 and 330?  [#permalink]

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14 Apr 2016, 01:34
00:00

Difficulty:

35% (medium)

Question Stats:

61% (01:22) correct 39% (01:12) wrong based on 160 sessions

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What is the sum of all the prime factors of 220 and 330?

A. 15
B. 21
C. 35
D. 41
E. 64

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Re: What is the sum of all the prime factors of 220 and 330?  [#permalink]

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14 Apr 2016, 03:00
Prime factorization of the given numbers

220 = 2^2 * 5 * 11
330 = 2*3*5* 11

Sum = 4+5+11 + 2+3+5+11
=20 + 21
=41
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What is the sum of all the prime factors of 220 and 330?  [#permalink]

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21 Apr 2016, 11:09
Very Confusing This question.
The answer can either be 41 or 21.
Here => What in sum of all the prime factors we are counting them twice and thrice.
Bit odd.

Regards
StoneCold
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Re: What is the sum of all the prime factors of 220 and 330?  [#permalink]

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24 Jul 2016, 02:58
Prime factorization of both the numbers is as follows
220 = 2 * 2 * 5 * 11
sum of the prime factors of 220 = 20
330 = 2 *3 * 5 * 11
sum of prime factors of 330 = 21
addition of both = 20 + 21 = 41
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Re: What is the sum of all the prime factors of 220 and 330?  [#permalink]

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24 Jul 2016, 04:15
stonecold wrote:
Very Confusing This question.
The answer can either be 41 or 21.
Here => What in sum of all the prime factors we are counting them twice and thrice.
Bit odd.

Regards
StoneCold

I suppose u factozied both together the way I did
lets try
220 330
11 20 30
2 10 15
5 2 3
11+2+5= 18 (not in the option)

Im doing something wrong
let me seprate & answer will be 41
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Re: What is the sum of all the prime factors of 220 and 330?  [#permalink]

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29 Nov 2016, 18:30
220 =(2^2)(5)(11) --> sum = 20

330 =(2)(3)(5)(11) --> sum = 21

20+21 = 41

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Re: What is the sum of all the prime factors of 220 and 330?  [#permalink]

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28 Jan 2019, 16:34
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Re: What is the sum of all the prime factors of 220 and 330?   [#permalink] 28 Jan 2019, 16:34
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