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What is the smallest positive integer other than 2 which when divided by 4 or 9 leaves a remainder of 2?
The use of the word 'or' means that the smallest positive integer is 6, as 6 ÷ 4 leaves a remainder of 2.
If you mean the smallest positive integer what when divided by both 4 and 9 leaves a remainder of 2 then the answer is 38.
4x + 2 = M : 4x = M - 2
9y + 2 = M : 9y = M - 2
4x = 9y : x = 9y/4: x = 2.25y
This means that for x to be an integer, y must = 4 or a multiple of 4.
Thus, if y = 4 then 9y + 2 = 36 + 2 = 38
And, x = 9
If higher value integers were required then put y = 8,( or higher multiples of 4)
Then 9y + 2 = 72 + 2 = 74
And, x = 18
What else can I help you with?
What is the smallest positive integer greater than 1 which leaves a remainder of 1 when divided by 234567?
234568
What is the smallest positive integer e such that the cube root of 600e is an integer?
45
How many different whole numbers leave a remainder of 1 when divided into 37?
Bn = 37n+1, where n is a positive integer from 1 to infinity, therefore there exists an infinite number of numbers that can be divided into 37 and leave 1 as a remainder
How do you find the smallest positive integer of a variable in a cube root so that the cube root is an integer ex. find the smallest positive integer g so that the cube root of 400g is an integer?
Here is a method: cube root of 400g = n, where n is an integer cube both sides: 400g = n3 then: g = n3/400 therefore: n3/400 must be an integer if this is so, then n3 must be divisible by 400 with no remainder, and n must be => cube root of 400 which is 7.368 bracket the answer by substitution: let n=8, n cubed = 512 no good let n=12, n cubed = 1728 no good let n=20, n cubed = 8000, 8000/400=20 OK No smaller value of n will be divisible by 400 without a remainder, so g=20 is the smallest positive integer that meets the requirement.
Compare and Contrast Greatest common factor and Least common multiple?
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.
What is the smallest positive integer that leaves a remainder of 12345678 when divided by 2?
6172839
What is the smallest positive integer that leaves a remainder of 1 when divided by 4 6 or 7?
85
What is the smallest positive integer greater than 1 which leaves a remainder of 1 when divided by 234567?
234568
What is the smallest positive integer greater than 1 which when divided by 5 or 6 leave a remainder of 1?
5
What is the smallest positive integer greater than 1 which when divided by 5 or 8 leaves a remainder of 1?
41
The smallest positive integer that is greater than 100 and leaves a remainder of 1 when divided by 3 a remainder of 2 when divided by 5 and a remainder of 3 when divided by 7?
The integer is 157. 157/3 = 52 remainder 1 157/5 = 31 remainder 2 157/7 = 22 remainder 3
When the positive integer n is divided by 6 the remainder is 2 what is the remainder when 24n is divided by 36?
12
When a positive integer is divided by 4 the remainder will be?
0, 1, 2, or 3.
What is the lowest positive integer which can be divided by 5 and 8 and have a remainder of 1?
41
Definition of the lowest common multiple?
The lowest common multiple of a set of numbers is the smallest positive integer which can be evenly divided by each number in the set. It is, thus, the smallest number which belongs to the times-table of the each number in the set.
Is 0 is the smllest positive integer?
The number zero is not the smallest positive integer. The number one is the smallest positive integer.
Why is 63 the LCM?
Because 63 is the smallest positive integer that both of those numbers divide into evenly with no remainder.
