Number Theory Review

Front

What is the formula to find a number when given the quotient and remainder after division?

Back

The number can be found using the formula: Number = (Divisor × Quotient) + Remainder.

Front

What is the divisibility rule for 3?

Back

A number is divisible by 3 if the sum of its digits is divisible by 3.

Front

What is the divisibility rule for 9?

Back

A number is divisible by 9 if the sum of its digits is divisible by 9.

Front

What is the sum of an even integer and an odd integer?

Back

The sum of an even integer and an odd integer is always odd.

Front

What is a perfect cube?

Back

A perfect cube is a number that can be expressed as the cube of an integer.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

How do you determine if a number is a perfect square?

Back

A number is a perfect square if it has an integer square root.

Front

What is the smallest integer n that can be multiplied to make a number a perfect cube?

Back

To find the smallest integer n, factor the number into primes and adjust the exponents to be multiples of 3.

Front

What is the least positive integer n such that an expression is a perfect square?

Back

To find n, factor the expression and ensure all prime factors have even exponents.

Front

What is the remainder when a number is divided by another number?

Back

The remainder is what is left over after division when the number cannot be evenly divided.