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What is the least whole number that is divisible by 7 but leaves a remainder of 1 when divided by any integer 2 - 6?
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What is the lowest positive integer greater then 1 which when divided by 5 or 8 leaves a remainder of 1?
41
If x2 is an integer divisible by 3 then x is divisible by 3?
Yes. If x is not divisible by 3 then x leaves a remainder of 1 or 2 when it is divided by 3. That is, x is of the form 3y+z where z = 1 or 2. Then x2 = (3y+z)2 = 9y2 + 6yz + z2 = 3(3y2 + 2yz) + z2 The first part of this expression is clearly a multiple of 3, but z2 is not. Whether z = 1 or 2, z2 leaves a remainder of 1 when divided by 3.
What is the smallest integer greater than 1 which leaves a remainder of 1 when divided by any of the integers 6 8 and 10?
121.
What is the lowest number when divided by 3 4 and 5 that leaves a remainder of 2?
2 or 62 no because 5 is not divisible in 2 or 62.
What is A number that leaves a remainder of 6 when divided by 10 What is the remainder when the number is divided by 5 Justify your reasoning?
A number leaves reminder 6 when divided by 10. What is the remainder when the number is divided by 5? Justify your reasoning.
What does odd number means?
It is an integer which, when divided by 2, leaves a remainder of 1.
What is the smallest positive integer that leaves a remainder of 12345678 when divided by 2?
6172839
How do you prove that an integer is an odd integer?
It leaves a remainder of 1 when divided by 2. Or, if the number is n, then n-1 or n+1 is even (divisible by 2).
How can you tell whether a number is divisible by 36?
When a number is divided by 36 and leaves no remainder.
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
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
Which number is divided by 23456 give remainder 1 and it is divided by 7 you get remainder 0?
23457 divided by 23456 leaves a remainder of 1, and it is divisible by 7. So that is one of infinitely many possible answers.
Why zero is neither even nor odd?
Zero is even. An integer is even if, when divided by 2, it leaves no remainder. 0/2 = 0, with no remainder.
What is the smallest positive integer greater than 1 which when divided by 5 or 8 leaves a remainder of 1?
41
What is the lowest positive integer greater then 1 which when divided by 5 or 8 leaves a remainder of 1?
41
If x2 is an integer divisible by 3 then x is divisible by 3?
Yes. If x is not divisible by 3 then x leaves a remainder of 1 or 2 when it is divided by 3. That is, x is of the form 3y+z where z = 1 or 2. Then x2 = (3y+z)2 = 9y2 + 6yz + z2 = 3(3y2 + 2yz) + z2 The first part of this expression is clearly a multiple of 3, but z2 is not. Whether z = 1 or 2, z2 leaves a remainder of 1 when divided by 3.
