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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.
Is 15298 divisible by 2?
Yes, 15298 is divisible by 2 because it is an even number. In mathematical terms, a number is divisible by 2 if it leaves no remainder when divided by 2. In this case, 15298 divided by 2 equals 7649, which is a whole number without any remainder.
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 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
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
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.
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.
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.
