Factors of 148

How to find the factors of 148

Test every whole number from 1 up to the square root of 148 (√148 ≈ 12.166). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 148 ÷ 1 = 148 — so 1 and 148 are factors
• 148 ÷ 2 = 74 — so 2 and 74 are factors
• 148 ÷ 3 = 49.333 — not a whole number
• 148 ÷ 4 = 37 — so 4 and 37 are factors
• 148 ÷ 5 = 29.6 — not a whole number
• 148 ÷ 6 = 24.667 — not a whole number
• 148 ÷ 7 = 21.143 — not a whole number
• 148 ÷ 8 = 18.5 — not a whole number
• 148 ÷ 9 = 16.444 — not a whole number
• 148 ÷ 10 = 14.8 — not a whole number
• 148 ÷ 11 = 13.455 — not a whole number
• 148 ÷ 12 = 12.333 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 37, 74 and 148.

Prime factorization of 148

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

The primes you divided by give 148 = 2² × 37. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 148

• 148 is a composite number.
• The sum of all its factors is 266; the sum of its proper factors (excluding 148) is 118, which makes it a deficient number (its proper factors add up to less than itself).
• 148 is not a perfect square, so its factors pair up evenly.
• Multiples of 148 include 296, 444, 592, 740 and so on.

Factors vs. multiples

Factors of 148 are the numbers that divide into it; multiples of 148 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.