Factors of 11
The factors of 11 are 1, 11. 11 is a prime number: its only factors are 1 and itself. Prime factorisation: 11.
All 2 factors of 11
1, 11
A factor divides 11 exactly, with no remainder. Every factor has a partner: the pairs below multiply to 11. The negative factors are -1, -11, because a negative times a negative is positive.
Factor pairs of 11
| Pair | Product |
|---|---|
| 1 × 11 | 11 |
Stop at the square root (3): every pair after that is one you already have, the other way round.
Prime factorisation of 11: 11
| Divide | by the smallest prime | Result |
|---|---|---|
| 11 | 11 | 1 |
So 11 = 11.
The number of factors comes from the exponents: (1 + 1) = 2.
How to find the factors of 11
- Start with 1 and 11: every number has those two.
- Test 2, 3, 4, … up to the square root of 11, which is about 3.
- Each time a number divides exactly, write it down with its partner (the quotient).
- Use the divisibility rules to skip work: by 2 no (the last digit is odd); by 3 no (the digit sum is 2); by 5 no (the last digit is 1).
- Put the list in order: 1, 11.
🧮 Calculator
The answer appears here, with the working in words.
✏️ Five questions, answers hidden
1. List the factors of 12.
Answer: 1, 2, 3, 4, 6, 12
2. Write the prime factorisation of 22.
Answer: 2 × 11
3. How many factors does 11 have?
Answer: 2
4. What is the largest factor of 11 other than itself?
Answer: 1
5. Is 13 prime or composite?
Answer: prime
📚 The class this belongs to
Factors are taught in Grade 4 and 5 in the US, Year 5 and 6 in the UK, Class 4 to 6 in CBSE (NCERT Class 6, Playing with Numbers) and Year 5 and 6 in Australia.
If this page is the homework and the method is not sticking, that is what a 1-on-1 class fixes: one tutor with a master's degree, one child, on a shared whiteboard, in your time zone, about US$10 to $13 an hour. How 1-on-1 online tutoring works.