Factors of 201

How to find the factors of 201

Test every whole number from 1 up to the square root of 201 (√201 ≈ 14.177). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 201 ÷ 1 = 201 — so 1 and 201 are factors
• 201 ÷ 2 = 100.5 — not a whole number
• 201 ÷ 3 = 67 — so 3 and 67 are factors
• 201 ÷ 4 = 50.25 — not a whole number
• 201 ÷ 5 = 40.2 — not a whole number
• 201 ÷ 6 = 33.5 — not a whole number
• 201 ÷ 7 = 28.714 — not a whole number
• 201 ÷ 8 = 25.125 — not a whole number
• 201 ÷ 9 = 22.333 — not a whole number
• 201 ÷ 10 = 20.1 — not a whole number
• 201 ÷ 11 = 18.273 — not a whole number
• 201 ÷ 12 = 16.75 — not a whole number
• 201 ÷ 13 = 15.462 — not a whole number
• 201 ÷ 14 = 14.357 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 67 and 201.

Prime factorization of 201

Divide by the smallest prime that fits, and keep going until the quotient is 1:

The primes you divided by give 201 = 3 × 67. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 201

• 201 is a composite number.
• The sum of all its factors is 272; the sum of its proper factors (excluding 201) is 71, which makes it a deficient number (its proper factors add up to less than itself).
• 201 is not a perfect square, so its factors pair up evenly.
• Multiples of 201 include 402, 603, 804, 1,005 and so on.

Factors vs. multiples

Factors of 201 are the numbers that divide into it; multiples of 201 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.