Yahoo Answers: Answers and Comments for Math homework? [Mathematics]
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From Anonymous
enUS
Thu, 23 Jan 2020 03:09:28 +0000
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Yahoo Answers: Answers and Comments for Math homework? [Mathematics]
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From Captain Matticus, LandPiratesInc: 2020 = c * x + 20
2000 = c * x
You just need ...
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https://answers.yahoo.com/question/index?qid=20200123030928AAPMrFX
Thu, 23 Jan 2020 03:23:45 +0000
2020 = c * x + 20
2000 = c * x
You just need divisors of 2000 that are greater than 20
2000 = 2 * 10^3 = 2 * 2^3 * 5^3 = 2^4 * 5^3
2^0 * 5^0 , 2^1 * 5^0 , 2^2 * 5^0 , 2^3 * 5^0 , 2^4 * 5^0
2^0 * 5^1 , 2^1 * 5^1 , 2^2 * 5^1 , 2^3 * 5^1 , 2^4 * 5^1
2^0 * 5^2 , 2^1 * 5^2 , 2^2 * 5^2 , 2^3 * 5^2 , 2^4 * 5^2
2^0 * 5^3 , 2^1 * 5^3 , 2^2 * 5^3 , 2^3 * 5^3 , 2^4 * 5^3
1 , 2 , 4 , 8 , 16
5 , 10 , 20 , 40 , 80
25 , 50 , 100 , 200 , 400
125 , 250 , 500 , 1000 , 2000
25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 500 , 1000 , 2000

From Puzzling: Another way to say that, 2000 must be evenly d...
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https://answers.yahoo.com/question/index?qid=20200123030928AAPMrFX
Thu, 23 Jan 2020 03:50:27 +0000
Another way to say that, 2000 must be evenly divisible by x. But since the remainder is 20, it has to be bigger than 20.
2000 has a prime factorization of
2⁴ * 5³
The number of factors is found by incrementing the exponents and multiplying them.
4 becomes 5
3 becomes 4
Total factors would be 5 * 4 = 20
Now just remove the factors that are 20 or smaller.
1, 5
2, 10
4, 20
8
16
Answer:
x has 12 possible values
Specifically {25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000}