Prime Factors Practice Questions

Prime Factors and Factorization

Factorization or factoring is writing a number or mathematical object as a product of several factors, generally smaller or simpler objects of the same kind.

The ASSET Test has prime factors and factorization questions

Practice Questions

1. What are the prime factors of 17?

a. 2 x 8.5
b. 17
c. 3 x 5.5
d. None of the above

2. What are the prime factors of 100?

a. 2 x 2 x 5 x 5
b. 4 x 25
c. 2 x 2 x 2 x 5 x 5
d. 2 x 50

3. What are the prime factors of 25?

a. 4 x 5.5
b. 5 x 5 x 5
c. 1 x 25
d. 5 x 5

4. What are the prime factors of 81?

a. 3 x 3 x 9
b. 3 x 27
c. 3 x 3 x 3 x 3
d. All of the above

5. What are the prime factors of 125?

a. 5 x 25
b. 5 x 5 x 5
c. All of the above
d. None of the above

6. What are the prime factors of 132?

a. 4 x 3 x 11
b. 2 x 2 x 2 x 3 x 11
c. 2 x 6 x 11
d. 2 x 2 x 3 x 11

 

Answer Key

1. B
The only prime number that can divide 17 is 17.

2. A
To make it easier we can break this large number to two smaller numbers, 2 x 50 or 4 x 25. Let’s use 4 x 25. The prime factors of 4 = 2 x 2, and the prime factors of 25 = 5 x 5. The prime factors of 100 = 2 x 2 x 5 x 5.

3. D
The smallest prime number that can divide 25 is 5. 25/5 = 5. Prime factors of 25 = 5 x 5.

4. C
To make this easier we can break 81 to be 9 x 9 and then find the prime factors of each of these prime numbers. The prime factors of 9 = 3 x 3 and the prime factors of 9 = 3 x 3 Prime factors of 81 = 3 x 3 x 3 x 3.

5.  B
The smallest prime number that can divide 125 is 5. 125/5 = 25. 25/5 =5. Prime factors of 125 = 5 x 5 x5

6. D
The smallest prime number to divide 132 is 2. 132/2 = 66. 66/2 = 33. 33/3 = 11. 11 cannot be divided further by a prime number other than 11. The prime numbers of 132 = 2 x 2 x 3 x 11.

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    4 Comments

  1. morshandra
    March 6, 2016
    Reply

    this is a good website because it gives us extra practice for the test that’s coming up or soon.

  2. Angie Lockwood
    March 8, 2017
    Reply

    Thank-you for posting this, it’s really helpful

  3. sudeepti
    July 31, 2018
    Reply

    it was a nice experience for me to correct my mistakes. Thanks for the one who prepared

  4. Charlie
    October 30, 2018
    Reply

    Can you explain #5 better?

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