How to find the factors of 167
Test every whole number from 1 up to the square root of 167 (√167 ≈ 12.923). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 167 ÷ 1 = 167 — so 1 and 167 are factors
- 167 ÷ 2 = 83.5 — not a whole number
- 167 ÷ 3 = 55.667 — not a whole number
- 167 ÷ 4 = 41.75 — not a whole number
- 167 ÷ 5 = 33.4 — not a whole number
- 167 ÷ 6 = 27.833 — not a whole number
- 167 ÷ 7 = 23.857 — not a whole number
- 167 ÷ 8 = 20.875 — not a whole number
- 167 ÷ 9 = 18.556 — not a whole number
- 167 ÷ 10 = 16.7 — not a whole number
- 167 ÷ 11 = 15.182 — not a whole number
- 167 ÷ 12 = 13.917 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1 and 167.
Prime factorization of 167
167 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 167.
Properties of 167
- 167 is a prime number.
- The sum of all its factors is 168; the sum of its proper factors (excluding 167) is 1, which makes it a deficient number (its proper factors add up to less than itself).
- 167 is not a perfect square, so its factors pair up evenly.
- Multiples of 167 include 334, 501, 668, 835 and so on.
Factors vs. multiples
Factors of 167 are the numbers that divide into it; multiples of 167 are the numbers it divides into. Every number has a limited set of factors but infinitely many multiples. To work with any other number, use the factors calculator, or find shared factors with the GCF calculator.
Frequently asked questions
What are the factors of 167?
The factors of 167 are 1 and 167. Each of these divides 167 with no remainder.
How many factors does 167 have?
167 has 2 positive factors, which form 1 factor pair. Counting negative factors as well doubles that to 4.
What is the prime factorization of 167?
167 = 167. 167 is prime, so it is its own prime factorization.
Is 167 a prime number?
Yes. 167 is prime because its only factors are 1 and 167.