15
19
171 ÷ 2 = 85.5 or 85 times with a remainder of 1.
171 with remainder 3.
171 - 38 = 133 so 133 + 38 sum to 171
Before trying to divide this number by all the given factors. Note 1' It's an even number so will divide by '2' 2' It will NOT divide by '5' because it does not end in '5' or '0' 3' It will not divide by '10' because it does not end in 'zero'. 4' it will not divide by '9' , because the digits do not SUM to '9' (5 + 1 + 4 = 10) So we are left with 2,3,4,6. to attempt division. Hence 2)514 = 257 OK!!! 3)514 = 171 remainder '1' ; Does not divide by '3' 4)514 = 128 remainder '2' ; Does not divide by '4' 6)514 = 85 remainder '4' ; does not divide by '6'. NB One other critical prime number to try is '7' Hence 7)514 = 73 remainder '3' So it does not divide by '7'. So out of the list of factors, only '2' will divide into '514'.
1.7812
None!!! Because '171' is NOT an EVEN number. Remember even numbers end in 0,2,4,6,and 8. Since '171', does not end in 0,2,4,6 or 8 , then it is not an even number, so it will not divide evenly. NB However, you can divide '171' by '2' , and the answer is 85.5 or 85 1/2
171, remainder 4
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.
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.
19
171
The greatest common factor of these numbers is 1. If it were a composite number, we could say that that number, and all the numbers that divide it evenly, divide these numbers evenly. However, these numbers are relatively prime-that is, the only factor they share is 1.
3.42
171 ÷ 2 = 85.5 or 85 times with a remainder of 1.
171.4286
171.6