Factors of 166
The factors of 166 are 1, 2, 83, 166. 166 is a composite number with 4 factors. Prime factorisation: 2 × 83.
All 4 factors of 166
1, 2, 83, 166
A factor divides 166 exactly, with no remainder. Every factor has a partner: the pairs below multiply to 166. The negative factors are -1, -2, -83, -166, because a negative times a negative is positive.
Factor pairs of 166
| Pair | Product |
|---|---|
| 1 × 166 | 166 |
| 2 × 83 | 166 |
Stop at the square root (12): every pair after that is one you already have, the other way round.
Prime factorisation of 166: 2 × 83
| Divide | by the smallest prime | Result |
|---|---|---|
| 166 | 2 | 83 |
| 83 | 83 | 1 |
So 166 = 2 × 83.
The number of factors comes from the exponents: (1 + 1) × (1 + 1) = 4.
How to find the factors of 166
- Start with 1 and 166: every number has those two.
- Test 2, 3, 4, … up to the square root of 166, which is about 12.
- Each time a number divides exactly, write it down with its partner (the quotient).
- Use the divisibility rules to skip work: by 2 yes (the last digit is even); by 3 no (the digit sum is 13); by 5 no (the last digit is 6).
- Put the list in order: 1, 2, 83, 166.
🧮 Calculator
The answer appears here, with the working in words.
✏️ Five questions, answers hidden
1. List the factors of 167.
Answer: 1, 167
2. Write the prime factorisation of 332.
Answer: 2^2 × 83
3. How many factors does 166 have?
Answer: 4
4. What is the largest factor of 166 other than itself?
Answer: 83
5. Is 168 prime or composite?
Answer: composite
📚 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.
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