Algorithms for Divisibility
Interactive practice questions
Consider the following numbers.
$940,257,8535,486,1923,11705,21735,92872,98941,77990,2327,6644,985,605,8470$940,257,8535,486,1923,11705,21735,92872,98941,77990,2327,6644,985,605,8470
List all the numbers that are divisible by $10$10.
Write all the numbers on the same line, separated by commas.
List all the numbers that are divisible by $5$5.
Write all the numbers on the same line, separated by commas.
List all the numbers that are divisible by $2$2.
Write all the numbers on the same line, separated by commas.
List all the numbers that are divisible by $10$10, $5$5 and $2$2.
Write all the numbers on the same line, separated by commas.
To test whether a number is divisible by $10$10, we use the following simple algorithm.
"If the number ends in a $0$0, then the number is divisible by $10$10."
To test whether a number is divisible by $2$2, we use the following simple algorithm.
"If the number is even (that is, the digit in the ones column is even), then the number is divisible by $2$2."
To test whether a number is divisible by $5$5, we use the following simple algorithm.
"If the number ends in a $0$0 or a $5$5, then the number is divisible by $5$5."