Maths
posted by ABCD .
Given the set of integers {1,2,3,…,801}, what is the maximum number of sets we could distribute these numbers into such that the sum of each set is exactly the same.

If we sum the sequence,
S=&sum i, i=1,801, we have
S=3²*89*401, as prime factorization.
Thus the largest number of groups is 401 sets, each sum would therefore be 801, as follows:
{1,800},{2,799}...{399,402},{400,401},{801} for a total of 401 sets.
Respond to this Question
Similar Questions

calculus
what is the property that distinguishes finite sets from infinite sets (give examples of each to accompany explaination). finite sets are countable. Infinite sets are not. so what would be an example of an infinite set? 
Algerba II
Hi Do decimals such as 2.718 represent rational numbers or irrational numbers. Explain. Do repeating decimals such as 2.3333 . . . represent rational numbers or irrational numbers? 
MATH
A set of numbers has “the triplesum property” (or TSP) if there exist three numbers in the set whose sum is also in the set. [Repetitions are allowed.] For example, the set U = {2, 3, 7} has TSP since 2 + 2 + 3 = 7, while V = … 
maths
explain why are the following not groups: 1)the set of Z integers with operation subtraction 2)The set of Z integers with operation addition 3)The set of R* of all non zero real numbers with addition 
mathematics
The numbers 1,2,…,17 are divided into 5 disjoint sets. One set has 5 elements, one set has 4 elements, two sets have 3 elements and the last set contains the 2 remaining elements. Two players each choose a number from 1 to 17 at … 
maths
The numbers 1,2,…,17 are divided into 5 disjoint sets. One set has 5 elements, one set has 4 elements, two sets have 3 elements and the last set contains the 2 remaining elements. Two players each choose a number from 1 to 17 at … 
algebra
What set of numbers is described by M={1, 2, 3, 7} L={3, 7, 9} a) {3,7} b) {1, 2, 3, 7} c) {1, 2, 3, 7, 9} d) {1, 2, 3, 3, 7, 7, 9} C? 
Mathematics
Given the set of integers {1,2,3,…,801}, what is the maximum number of sets we could distribute these numbers into such that the sum of each set is exactly the same? 
SAT prep help
Set M consists of the consecutive integers from 15 to y, inclusive. If the sum of all the integers in set M is 70, How many numbers are in the set? 
SAT math
Set M consists of the consecutive integers from 15 to y, inclusive. If the sum of all the integers in set M is 70, How many numbers are in the set?