Divisibility Proofs Quizzes, Questions & Answers

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Top Trending Divisibility Proofs Quizzes

Divisibility Algebra Quiz: Master Divisibility Algebra Quiz

How do divisibility rules apply when the expressions involve variables instead of plain numbers? In this quiz, you’ll explore how to test algebraic expressions for divisibility by analyzing factors, rewriting terms, and...

Questions: 20 | Attempts: 12 | Last updated: May 19, 2026

Sample Question 1
A number n is divisible by 4. Which equation represents this?

N = 2k

N = 3k

N = 4k

N = 5k

Sample Question 2
Which equation represents numbers that leave a remainder of 2 when divided by 5?

N = 5k

N = 5k + 1

N = 5k + 2

N = 5k - 2

Sample Question 3
If n = 6k, then n is divisible by both 2 and 3.

True

False

Recent Divisibility Proofs Quizzes

Divisibility by 3 and 9 Quiz: Digit Sum Divisibility by 3 and 9

Questions: 20 | Attempts: 10 | Last updated: May 19, 2026

Sample Question
Why does the digit-sum test work for divisibility by 3?

Because 10 is congruent to 1 mod 3, so 10 to the power k is congruent to 1 and the number is congruent to the sum of its digits mod 3

Because powers of 10 are all multiples of 3

Because every number's digits are multiples of 3

Because 3 divides every even number

Divisibility Rules and Algebraic Forms

Questions: 15 | Attempts: 11 | Last updated: Jan 19, 2026

Sample Question
A number is divisible by 2 if:

It ends in 1

It ends in 5

It ends in 0, 2, 4, 6, or 8

Its digits add to 3

Applying Divisibility Proofs in Problems

Questions: 15 | Attempts: 11 | Last updated: Jan 19, 2026

Sample Question
If a number leaves remainder 1 when divided by 3, which equation represents it?

N = 3k

N = 3k + 1

N = 3k + 2

N = 3k − 1

Algebraic Proofs of Divisibility

Questions: 15 | Attempts: 10 | Last updated: Jan 19, 2026

Sample Question
A number leaves a remainder of 2 when divided by 5. Which equation represents this situation?

N = 5k

N = 5k + 1

N = 5k + 2

N = 5k - 2