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What is a two digit number that has a remainder of 7 when it divides into 171?
Wiki User
∙ 11y ago
0.0409
Aurelia Stracke
Wiki User
∙ 11y ago41 OR 82
Let x represent the two digit number we seek.
Let y represent the whole integer of 171/x.
So 171/x=y+7/x
We can multiply x to both sides, making the equation this: 171=xy+7
Subtract 7 from both sides, we get 164=xy.
Now knowing that x is a two digit number and y has to be a whole integer, we use logic to arrive at the conclusion that x=41 and y=4 OR x=82 and y=2.
We can plug our solutions into the equation 171/x=y+7/x. Let's start with x=41 and y=4. 171/(41)=(4)+7/(41) = 4.17073=4.17073 ✔. We can also check x=82 and y=2. 171/(82)=(2)+7/(82) = 2.085365=2.085365 ✔. So in this case, we have more than one possible solution.
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What are all the two-digit numbers that divide into 171 with a remainder of 6?
15
What is the remainder of 171 divided by 9?
19
How many times does 2 go into 171?
171 ÷ 2 = 85.5 or 85 times with a remainder of 1.
Which is the greatest number of 3 digit which when divided by 69 and 12 leave a remainder of 1?
The largest 3 digit number which when divided by 69 and 12 to give a remainder of 1 is 829. What we want is one more than a common multiple of 69 and 12. The common multiples of 69 and 12 are the multiples of their least common multiple: 69 = 3 x 23 12 = 2^2 x 3 → lcm = 2^2 x 3 x 23 = 276 The largest multiple of 276 which is a 3 digit number: 999 ÷ 276 = 3 r 171 → largest 3 digit multiple of 276 is 3 × 276 = 828 → the required number is 828 + 1 = 829.
How many times does 7 go into 1200?
171 with remainder 3.
What is the solution and answer of this question two digit numbers is divided by 171 with a remainder of 6?
171 cannot go into ANY two digit number - its smallest positive multiple is 171. Therefore the remainder must be the original 2 digit number. However, the question states that the remainder is 6. That is a contradiction. Consequently, there cannot be any solution to the question as stated.
What are all the two-digit numbers that divide into 171 with a remainder of 6?
15
What number can be a number that divides 171 with a remainder of 6 list all the two digit numbers that number can be?
If the result has a remainder of 6, then the number must be 165 + 6. So you need to find all the 2-digit factors of 165. The easiest way is to just start listing them and see what you get. Start with 10, then go to 11, etc and write the factor pairs. If some number is not a factor of 165, just skip it and go to the next number. When the factors start to repeat, you are done. The two-digit factors of 165 10 × ___ <-- 10 is not a factor, so skip it and go to the next number 11 × 15 12 × ___ <-- Not a factor. Skip to the next number 13 × ___ <-- Not a factor 14 × ___ <-- Skip this one 15 × 11 <-- The factors are repeating, so you are done. Answer: The only two-digit numbers that divide 171 with a remainder of 6 are 11 and 15 Check 171 ÷ 11 = 15 R6 171 ÷ 15 = 11 R6 Check!
What are the two digit numbers that leave a remainder of 7 when 171 is divided by them?
171 / <unknown> = <some number> remainder 7 First, 171-7=164 Purpose: all factors of 164 would be either <unknown> or <some number> 164= 1 x 164 2 x 83 Factors of 164: 1, 2, 83, 164 Since you wanted two digit numbers, the only answer is 83. Proof: 171 / 83 = 2 R 7 * * * * * The last time I checked, 2*83 was not 164, but 2 times 82 was. So, the correct answers are 82 and 41.
What is 171 divided by 96 with remainder?
1.7812
How many times does 5 go into 859?
171, remainder 4
What is the sum of a three digit palindrome number that ends in 71?
The sum of the digits of 171 is 9.
What is the remainder of 171 divided by 9?
19
How do you write 171 as a decimal?
A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point. So the required decimal representation is 171, exactly as in the question.
List all the two digit numbers which leave a remainder of 6 when 171 is divided by them?
I believe you would basically have to try out the divisions one by one - I am not aware of any great shortcut. You can do the divisions in Excel, using the mod() function. Another option is to write a short computer program that tests each of the divisions. (171 % 1, 171 % 2, 171 % 3... up to 171 % 171 - many programming language use the "%" sign for the remainder of a division). If you do the divisions by hand, you may notice certain patterns, and skip a few numbers in the divisions.
What is the answer when 171 is divided by 50?
3.42
How many times does 2 go into 171?
171 ÷ 2 = 85.5 or 85 times with a remainder of 1.
