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Vidaara.orgClass 6 · Mathematics
CodeVID-M6-00-CT
Prime Factorization, LCM, GCF — Full Chapter Test
Chapter: Prime Factorization, LCM, GCF
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A prime number has exactly:
  • A.one factor
  • B.two factors
  • C.three factors
  • D.no factors
2.
The GCF is the ___ factor common to two numbers.
  • A.smallest
  • B.largest
  • C.first
  • D.prime
3.
The LCM is the ___ multiple common to two numbers.
  • A.largest
  • B.smallest
  • C.first prime
  • D.even
4.
The prime factorization of $12$ is:
  • A.$2\times6$
  • B.$2\times2\times3$
  • C.$3\times4$
  • D.$2\times3\times3$
5.
The GCF of $12$ and $18$ is:
  • A.$2$
  • B.$3$
  • C.$6$
  • D.$36$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Is $7$ a prime number?
7.
Find the GCF of $6$ and $9$.
8.
Find the LCM of $2$ and $3$.
9.
Write the prime factorization of $8$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the prime factorization of $24$.
11.
Find the GCF of $24$ and $36$.
12.
Find the LCM of $8$ and $12$.
13.
Find the prime factorization of $36$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Find the prime factorization of $72$ using a factor tree and write it with exponents.
15.
Find the GCF of $48$ and $60$ using prime factorization.

Answer Key

Section A — Multiple Choice Questions
  1. (B) two factors
  2. (B) largest
  3. (B) smallest
  4. (B) $2\times2\times3$
  5. (C) $6$
Section B — Short Answer (2 marks)
  1. Yes.
  2. $3$.
  3. $6$.
  4. $2\times2\times2=2^3$.
Section C — Short Answer (3 marks)
  1. $2^3\times3$.
  2. $12$.
  3. $24$.
  4. $2^2\times3^2$.
Section D — Long Answer (5 marks)
  1. $2^3\times3^2$.
  2. $12$.
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