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Mathematics · Self Assessment

Practice Test: Factors & Multiples

A 100-mark paper covering "Divisibility Rules", "Factors & Multiples: Prime, Composite, and Common", "HCF & LCM", and "HCF & LCM Word Problems" — multiple choice, true/false, fill-in-the-blank, column matching, and short answer, all auto-graded instantly.

EDUSAMBAM Editorial Team · 45 questions · 100 marks · Instant self-assessment

Questions

100

Marks

Sections

100%

Auto-Graded

Section	Questions	Marks Each	Total
A — Multiple Choice	15	2	30
B — True / False	10	2	20
C — Fill in the Blank	10	2	20
D — Column Matching	5 pairs	2	10
E — Short Answer	5	4	20
Total	45	—	100

Fill-in-the-blank and short-answer questions are checked automatically against accepted answers — exact wording doesn't need to match, but the key term should be present.

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Section A — Multiple Choice

30 marks

15 questions · 2 marks each.

1.A number is divisible by 2 if:Basic2 pts

A. Its last digit is even

B. It ends in 5

C. It is a prime number

D. The sum of its digits is 3

2.A number is divisible by 5 if:Basic2 pts

A. It ends in 0 or 5

B. It ends in 2

C. It is odd

D. It ends in 3

3.A number is divisible by 3 if:Basic2 pts

A. It is even

B. The sum of its digits is divisible by 3

C. It ends in 0

D. It has exactly two digits

4.A factor of a number is:Basic2 pts

A. A number that divides it exactly with no remainder

B. Any number larger than it

C. Always the number itself doubled

D. Only 1 or itself

5.A multiple of a number is:Basic2 pts

A. The result of multiplying it by a whole number

B. Always smaller than the number

C. Only found through division

D. Always a fraction

6.A prime number has exactly:Basic2 pts

A. Two factors: 1 and itself

B. Three factors

C. No factors

D. An unlimited number of factors

7.A composite number has:Basic2 pts

A. Exactly one factor

B. More than two factors

C. Exactly two factors

D. No factors at all

8.Which of these is a prime number?Basic2 pts

A. 4

B. 6

C. 7

D. 9

9.A common factor of two numbers is a number that:Basic2 pts

A. Divides both numbers exactly

B. Is larger than both numbers

C. Is a multiple of both numbers

D. Has no relation to either number

10.HCF stands for:Basic2 pts

A. Highest Common Factor

B. Highest Common Fraction

C. Half Common Factor

D. Higher Composite Fraction

11.LCM stands for:Basic2 pts

A. Lowest Common Multiple

B. Largest Composite Multiple

C. Lowest Common Fraction

D. Least Common Factor plus one

12.The HCF of two numbers is:Basic2 pts

A. The largest number that divides both numbers exactly

B. The smallest multiple shared by both numbers

C. Always equal to 1

D. Always the larger of the two numbers

13.The LCM of two numbers is:Basic2 pts

A. The largest factor shared by both numbers

B. The smallest multiple that both numbers divide into exactly

C. Always equal to their sum

D. Always equal to 0

14.HCF and LCM word problems are commonly used to solve real-life situations like:Basic2 pts

A. Dividing items into equal groups or finding when repeating events align

B. Painting a wall

C. Naming a pet

D. Writing a poem

15.If two numbers share no common factors other than 1, their HCF is:Basic2 pts

A. 1

B. 0

C. Their product

D. Undefined

Section B — True / False

20 marks

10 questions · 2 marks each.

16.A number is divisible by 2 if its last digit is even.Intermediate2 pts

True

False

17.A number is divisible by 5 only if it ends in 5, never in 0.Intermediate2 pts

True

False

18.A factor of a number divides it exactly, with no remainder.Intermediate2 pts

True

False

19.A multiple of a number is always smaller than the number itself.Intermediate2 pts

True

False

20.A prime number has exactly two factors: 1 and itself.Intermediate2 pts

True

False

21.A composite number has more than two factors.Intermediate2 pts

True

False

22.HCF stands for Highest Common Factor.Intermediate2 pts

True

False

23.LCM stands for Lowest Common Multiple.Intermediate2 pts

True

False

24.The HCF of two numbers is always larger than their LCM.Intermediate2 pts

True

False

25.HCF and LCM are useful tools for solving real-life grouping and scheduling problems.Intermediate2 pts

True

False

Section C — Fill in the Blank

20 marks

10 questions · 2 marks each. Type the missing word or term.

26.A number that divides another number exactly, with no remainder, is called a ______.Intermediate2 pts

27.The result of multiplying a number by a whole number is called a ______.Intermediate2 pts

28.A number with exactly two factors, 1 and itself, is called a ______ number.Intermediate2 pts

29.A number with more than two factors is called a ______ number.Intermediate2 pts

30.A number that divides two or more numbers exactly is called a ______ factor.Intermediate2 pts

31.The largest number that divides two numbers exactly is called the ______.Advanced2 pts

32.The smallest multiple shared by two or more numbers is called the ______.Advanced2 pts

33.If a number ends in 0 or 5, it is divisible by ______.Advanced2 pts

34.If the sum of a number's digits is divisible by 3, the number itself is divisible by ______.Advanced2 pts

35.HCF and LCM are often used to solve real-life ______ problems, like grouping items evenly.Advanced2 pts

Section D — Column Matching

10 marks

Use the ▲ ▼ buttons to reorder Column B until each row lines up with the correct term in Column A. 2 marks per correct pair.

36–40.Match each term to its correct definition.Advanced10 pts

Column A

Factor

Multiple

Prime Number

HCF

LCM

Column B

A number with exactly two factors: 1 and itself

The largest number that divides two numbers exactly

The smallest multiple shared by two or more numbers

A number that divides another exactly, with no remainder

The result of multiplying a number by a whole number

Section E — Short Answer

20 marks

5 questions · 4 marks each. Answer in one or two sentences.

41.What is the difference between a factor and a multiple?Advanced4 pts

42.Explain what makes a number a prime number.Advanced4 pts

43.What is the difference between HCF and LCM?Advanced4 pts

44.Give a divisibility rule for the number 3.Advanced4 pts

45.Describe a real-life situation where finding the LCM would be useful.Advanced4 pts

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