# 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

a

List all the numbers that are divisible by $10$10.

Write all the numbers on the same line, separated by commas.

b

List all the numbers that are divisible by $5$5.

Write all the numbers on the same line, separated by commas.

c

List all the numbers that are divisible by $2$2.

Write all the numbers on the same line, separated by commas.

d

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.

Easy
4min

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."

Easy
2min

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."

Easy
2min

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."

Easy
1min