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Grade 9

11.06 Algorithms for divisibility

Interactive practice questions

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."

a

Examine the following list of three-digit numbers and write down all the numbers that are divisible by $10$10.

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

$313,882,710,170,479,381,860,465,256,344$313,882,710,170,479,381,860,465,256,344

b

Examine the following list of five-digit numbers and write down all the numbers that are divisible by $10$10.

Write down these numbers on the same line, separated by commas.

$42381,92176,86498,59433,24499,21880,95534,61110,25190,39137$42381,92176,86498,59433,24499,21880,95534,61110,25190,39137

c

Examine the following list of seven-digit numbers and write down all the numbers that are divisible by $10$10.

Write down these numbers on the same line, separated by commas.

$6459620,5638943,2878605,1904790,5037628,6805217$6459620,5638943,2878605,1904790,5037628,6805217

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

To test whether a number is divisible by $3$3, we use the following algorithm.

Step 1: Find the sum of the digits of the number.

Step 2: If the sum is a multiple of $3$3, then the number itself is a multiple of $3$3.

Use the algorithm to determine whether $34257$34257 is divisible by $3$3.

Easy
1min
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Outcomes

9.C2.1

Use coding to demonstrate an understanding of algebraic concepts including variables, parameters, equations, and inequalities.

9.C2.2

Create code by decomposing situations into computational steps in order to represent mathematical concepts and relationships, and to solve problems.

9.C2.3

Read code to predict its outcome, and alter code to adjust constraints, parameters, and outcomes to represent a similar or new mathematical situation.

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