Factors of 119
The factors of 119 are 1, 7, 17, 119. 119 is a composite number with 4 factors. Prime factorisation: 7 × 17.
All 4 factors of 119
1, 7, 17, 119
A factor divides 119 exactly, with no remainder. Every factor has a partner: the pairs below multiply to 119. The negative factors are -1, -7, -17, -119, because a negative times a negative is positive.
Factor pairs of 119
| Pair | Product |
|---|---|
| 1 × 119 | 119 |
| 7 × 17 | 119 |
Stop at the square root (10): every pair after that is one you already have, the other way round.
Prime factorisation of 119: 7 × 17
| Divide | by the smallest prime | Result |
|---|---|---|
| 119 | 7 | 17 |
| 17 | 17 | 1 |
So 119 = 7 × 17.
The number of factors comes from the exponents: (1 + 1) × (1 + 1) = 4.
How to find the factors of 119
- Start with 1 and 119: every number has those two.
- Test 2, 3, 4, … up to the square root of 119, which is about 10.
- 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 11); by 5 no (the last digit is 9).
- Put the list in order: 1, 7, 17, 119.
🧮 Calculator
The answer appears here, with the working in words.
✏️ Five questions, answers hidden
1. List the factors of 120.
Answer: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
2. Write the prime factorisation of 238.
Answer: 2 × 7 × 17
3. How many factors does 119 have?
Answer: 4
4. What is the largest factor of 119 other than itself?
Answer: 17
5. Is 121 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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