Brain Teasers
Greatest Product
What is the largest product of positive integers whose sum is 20?
Answer
1458 = 3^6 x 2Three is the smallest number whose product is greater than its sum. Therefore you want to include as many 3's in the answer as possible. Then make 2's (or 4's) out of the remainder.
20 / 3 = 6, remainder 2 so 3^6 x 2
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Comments
Nice. I guessed 2^10 since it couldn't be 1^20.
Cute teaser. I got it wrong too because I was thinking of only two addends.
javagru..
REVIEW your QUESTION.
you will soon find out that your wrong..
REVIEW your QUESTION.
you will soon find out that your wrong..
Care to elaborate scholarium?
By the way, it's "you're" not "your".
By the way, it's "you're" not "your".
My issue stems from the fact that those 3 numbers don't add up to 20. Or am I missing something?
What three numbers? There are seven numbers:
3 + 3 + 3 + 3 + 3 + 3 + 2 = 20
3 * 3 * 3 * 3 * 3 * 3 * 2 = 1458
3 + 3 + 3 + 3 + 3 + 3 + 2 = 20
3 * 3 * 3 * 3 * 3 * 3 * 2 = 1458
My mistake. I was looking at 3^6*2 and then adding 3, 6, and 2.
I like this one.
At first I thought 2^10, then realized 3*3 > 2*2*2
At first I thought 2^10, then realized 3*3 > 2*2*2
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