Mathcounts : Counting Flashcard 1

Front

What is a positive multiple of a number?

Back

A positive multiple of a number is the product of that number and a positive integer.

Front

How do you find the number of positive multiples of a number less than a given limit?

Back

To find the number of positive multiples of a number less than a limit, divide the limit by the number and take the floor of the result.

Front

What is the formula to find the number of terms in an arithmetic sequence?

Back

The number of terms in an arithmetic sequence can be found using the formula: n = (last term - first term) / common difference + 1.

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer.

Front

How do you determine if a number is odd?

Back

A number is odd if it is not divisible by 2.

Front

What is the range of odd perfect squares between 5 and 211?

Back

The odd perfect squares between 5 and 211 are 9, 25, 49, 81, 121, and 169.

Front

How do you find the factors of a number?

Back

To find the factors of a number, determine all integers that can divide the number without leaving a remainder.

Front

What is the prime factorization of 56?

Back

The prime factorization of 56 is 2^3 * 7.

Front

How do you calculate the total number of factors from prime factorization?

Back

To calculate the total number of factors from prime factorization, add 1 to each of the exponents in the factorization and multiply the results.

Front

What is the range of perfect squares between 50 and 250?

Back

The perfect squares between 50 and 250 are 64, 81, 100, 121, 144, 169, 196, 225.