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Lesson: Finding the Prime Factorization of a Composite Number

Video

09:54

Worksheet • 25 Questions

Q1:

Venn diagrams are useful for finding the greatest common factor and the least common multiple of two numbers.

Write 30 as a product of its prime factors.

  • A 2 3 5
  • B 5 6
  • C 3 1 0
  • D 3 3 5
  • E 3 5 5

Write 75 as a product of its prime factors.

  • A 3 5 5
  • B 5 5 5
  • C 3 2 5
  • D 5 1 5
  • E 3 3 5

Which of the following diagrams displays a correct Venn diagram?

  • A(C)
  • B(A)
  • C(D)
  • D(B)

Q2:

How many prime factors does 76 have without repetition?

Q3:

Write 46 as a product of primes.

  • A 2 × 2 3
  • B 3 × 2 3
  • C 1 × 4 6
  • D 2 × 3 × 2 3
  • E 2 × 2 × 2 3

Q4:

If Michael’s height is 2 feet and 5 inches, express, in inches, his height as a product of primes.

  • A 1 2 9
  • B 5 2 4
  • C 1 2 4
  • D 2 5
  • E 1 1 9

Q5:

Amelia has found that .

Is 91 a prime or a composite number?

  • A a prime number
  • B a composite number

Q6:

Find the missing number in the given Venn diagram.

Q7:

Which of the numbers 22, 67, 21, 36, 48, and 8 has a prime factorization of exactly two factors?

  • A22, 21
  • B48, 8
  • C22
  • D67, 36
  • E21

Q8:

Are 2 , 3 the prime factors of 18 without repetition?

  • Ano
  • Byes

Q9:

Find the prime number where the sum of the factors is 84.

Q10:

Venn diagrams can describe prime factors. Find the missing number in this Venn Diagram.

Q11:

What is the smallest composite number between 31 and 37?

Q12:

Which of the following is the prime factorization of 10?

  • A 2 × 5
  • B 1 0 × 1
  • C10
  • D5
  • E2

Q13:

Find the number whose prime factors are 5 and 7.

  • A 175
  • B 25
  • C 168
  • D 49

Q14:

There are 47 people in a graduation ceremony. List all the factors of 47, and state what type of number it is.

  • A , prime
  • B , prime
  • C , composite
  • D , composite
  • E , prime

Q15:

There are 72 people in a graduation ceremony. List all the factors of 72, and state what type of number it is.

  • A , composite
  • B , composite
  • C , prime
  • D , prime
  • E , composite

Q16:

There are 95 people in a graduation ceremony. List all the factors of 95, and state what type of number it is.

  • A , composite
  • B , composite
  • C , prime
  • D , prime
  • E , composite

Q17:

Write the prime factorization of 392 in exponent form.

  • A 2 × 7 3 2
  • B 2 × 7 3 3
  • C 3 × 7 2 2
  • D 2 × 7 2 3

Q18:

Write the prime factorization of 28 in exponent form.

  • A 2 × 7 2
  • B 2 × 7 2 2
  • C 3 × 7 2
  • D 2 × 7 2

Q19:

Venn diagrams are used to find the greatest common factor and the least common multiple of two numbers.

Write 18 as a product of its prime factors.

  • A 2 3 3
  • B 3 3 3
  • C 2 9
  • D 6 3
  • E 3 2 2

Write 60 as a product of its prime factors.

  • A 2 2 3 5
  • B 5 1 2
  • C 2 3 5
  • D 6 1 0
  • E 2 3 3 5

Which of the following diagrams displays a correct Venn diagram?

  • A(B)
  • B(A)
  • C(D)
  • D(C)

Q20:

Round the number 38.1 to the nearest whole number, and then express it as a product of primes.

  • A 3 8 , 1 9 2
  • B 3 7 , 2 1 7
  • C 3 8 , 2 1 7
  • D 3 7 , 1 9 2
  • E 3 8 , 1 9 1 7

Q21:

Find the prime number where the difference of the factors is 40.

Q22:

Find the missing numbers in the given Venn diagram before answering the following questions.

Find the greatest common factor of 35 and 55.

Find the least common multiple of 35 and 55.

Q23:

Find the two numbers where 11, 3, 5, and 11 are the prime factors of the first number and 2, 17, 17, and 5 are the prime factors of the second number.

  • AThe first number is 1 815 and the second number is 2 890.
  • BThe first number is 224 and the second number is 418.
  • CThe first number is 1 826 and the second number is 2 895.
  • DThe first number is 165 and the second number is 578.

Q24:

Which of the following is the prime factorization of 49?

  • A 7 × 7
  • B 4 9 × 1
  • C49
  • D1
  • E7

Q25:

A book consists of 483 pages. Write this number as a product of prime numbers.

  • A 7 3 2 3
  • B 7 7 2 3
  • C 3 2 3
  • D 3 3 2 3
  • E 7 2 3
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