SOLUTION: the number 6952 is divided by a single digit number. the quotient is a four digit number. there is no remainder. all the digits from 1-9 are used exactly once. what is the divisor

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: the number 6952 is divided by a single digit number. the quotient is a four digit number. there is no remainder. all the digits from 1-9 are used exactly once. what is the divisor       Log On


   

Question 938772: the number 6952 is divided by a single digit number. the quotient is a four digit number. there is no remainder. all the digits from 1-9 are used exactly once. what is the divisor and quotient.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let a single digit number+x and a four digit quotient +abcd
6952%2Fx=abcd where+abcd the digits from 1-9 are used exactly once
6952-> factor it first
6952=2%2A3476=2%2A2%2A1738=2%2A2%2A2%2A869 -prime factors
so, since factor 869 is three digit number and we need four digit number, x can be 2 or 4
6952%2F2=3476 and the digits from 1-9+are used exactly+once
6952%2F4=1738+ here also the digits from 1-9+are used exactly once
then the divisor can be 2+or 4 and quotient can be 3476 or 1738