Factors of 690

How to find the factors of 690

Test every whole number from 1 up to the square root of 690 (√690 ≈ 26.268). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 690 ÷ 1 = 690 — so 1 and 690 are factors
• 690 ÷ 2 = 345 — so 2 and 345 are factors
• 690 ÷ 3 = 230 — so 3 and 230 are factors
• 690 ÷ 4 = 172.5 — not a whole number
• 690 ÷ 5 = 138 — so 5 and 138 are factors
• 690 ÷ 6 = 115 — so 6 and 115 are factors
• 690 ÷ 7 = 98.571 — not a whole number
• 690 ÷ 8 = 86.25 — not a whole number
• 690 ÷ 9 = 76.667 — not a whole number
• 690 ÷ 10 = 69 — so 10 and 69 are factors
• 690 ÷ 11 = 62.727 — not a whole number
• 690 ÷ 12 = 57.5 — not a whole number
• 690 ÷ 13 = 53.077 — not a whole number
• 690 ÷ 14 = 49.286 — not a whole number
• 690 ÷ 15 = 46 — so 15 and 46 are factors
• 690 ÷ 16 = 43.125 — not a whole number
• 690 ÷ 17 = 40.588 — not a whole number
• 690 ÷ 18 = 38.333 — not a whole number
• 690 ÷ 19 = 36.316 — not a whole number
• 690 ÷ 20 = 34.5 — not a whole number
• 690 ÷ 21 = 32.857 — not a whole number
• 690 ÷ 22 = 31.364 — not a whole number
• 690 ÷ 23 = 30 — so 23 and 30 are factors
• 690 ÷ 24 = 28.75 — not a whole number
• 690 ÷ 25 = 27.6 — not a whole number
• 690 ÷ 26 = 26.538 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345 and 690.

Prime factorization of 690

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

The primes you divided by give 690 = 2 × 3 × 5 × 23. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 690

• 690 is a composite number.
• The sum of all its factors is 1,728; the sum of its proper factors (excluding 690) is 1,038, which makes it a abundant number (its proper factors add up to more than itself).
• 690 is not a perfect square, so its factors pair up evenly.
• Multiples of 690 include 1,380, 2,070, 2,760, 3,450 and so on.

Factors vs. multiples

Factors of 690 are the numbers that divide into it; multiples of 690 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.