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Vidaara.orgClass 6 · Mathematics
CodeVID-M06-03-PFT-01
Prime Factorization - Assignment
Chapter: Prime Factorization, LCM, GCF
Topic: Prime Factorization Using Factor Trees
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • 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 prime factorization of $12$ is:
  • A.$2\times6$
  • B.$2\times2\times3$
  • C.$3\times4$
  • D.$2\times3\times3$
3.
A factor tree breaks a number into its ___ factors.
  • A.even
  • B.prime
  • C.odd
  • D.common
4.
The only even prime number is:
  • A.$0$
  • B.$2$
  • C.$4$
  • D.$6$
5.
The prime factorization of $30$ is:
  • A.$2\times3\times5$
  • B.$2\times15$
  • C.$3\times10$
  • D.$5\times6$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Is $7$ a prime number?
7.
Write the prime factorization of $8$.
8.
Write the prime factorization of $18$.
9.
What is the smallest prime number?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the prime factorization of $24$.
11.
Find the prime factorization of $36$.
12.
Find the prime factorization of $45$.
13.
Find the prime factorization of $100$.
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 prime factorization of $84$ and $90$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) two factors
  2. (B) $2\times2\times3$
  3. (B) prime
  4. (B) $2$
  5. (A) $2\times3\times5$
Section B — Short Answer (2 marks)
  1. Yes.
  2. $2\times2\times2=2^3$.
  3. $2\times3\times3$.
  4. $2$.
Section C — Short Answer (3 marks)
  1. $2^3\times3$.
  2. $2^2\times3^2$.
  3. $3^2\times5$.
  4. $2^2\times5^2$.
Section D — Long Answer (5 marks)
  1. $2^3\times3^2$.
  2. $84=2^2\times3\times7$; $90=2\times3^2\times5$.
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