Why not test yourself by taking our mathematical factoring quiz?
Write down your answers to the following ten questions and then click the link at the bottom to reveal the correct answer to each question of the quiz. We will trust you to mark your own . . . so no cheating!
If you need help read about how to factor numbers or look at some examples.
So here are the questions (consider positive factors only i.e. not negative numbers):
1) Is 7 a factor of 21?
Answer: Yes, 21 can be divided by 7 i.e. 3 x 7 = 21 without any remainder (digits after the decimal point).
2) Is 9 a factor of 20?
Answer: No, 20 divided by 9 is 2 remainder 2 so it does not divide exactly and therefore is not a factor of 20.
3) What are the positive factors of the number 20?
Answer: 1, 2, 4, 5, 10 and 20.
4) What are the prime factors of the number 20?
Answer: 2 and 5 - these are all the factors of 20 that are also prime numbers i.e. can only be divided by 1 or themselves.
5) What is the Greatest Common Factor of the numbers 50 and 100?
Answer: 50 - as 50 is the highest factor of itself and it is also a factor of the number 100.
6) Is 8 a factor of 56?
Answer: Yes - 7 x 8 = 56.
7) What are the positive factors of the number 30?
Answer: 1, 2, 3, 5, 6, 10, 15 and 30.
8) What is the Greatest Common Factor of the numbers 13 and 41?
Answer: 1 - the only factors of the number 13 are 1 and itself. 13 does not divide exactly into 41. 41 does of course divide by 1 and hence 1 is the only and hence the Greatest Common Factor of the numbers 13 and 41.
9) Is 17 a factor of the number 51?
Answer: Yes - 17 x 3 = 51.
10) Is 5 a factor of the number 15?
Answer: Yes - 3 x 5 = 15 i.e. it divides exactly.
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