Factor Calculator

Factors of 241

The factors of 241 are 1 and 241. Since 241 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 242, and its prime factorization is simply 241 itself.

All factors of 241

Here are all 2 factors of 241, listed from smallest to largest.

1241

Factor pairs of 241

There is only one factor pair for 241, because it is prime.

1 × 241 = 241

Prime factorization of 241

241 is a prime number, so it cannot be broken down further. Its prime factorization is simply 241.

Properties of 241

Number of factors2
Sum of factors242
Sum of proper factors1
Prime factorization241
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 241 interesting

  • 241 is a prime number, so its only factors are 1 and 241. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 241 yourself

Divide 241 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √24115.52, because every factor above that pairs with one below it.

241 ÷ 1 = 241

Reading both columns gives every factor: 1, 241. The factor calculator does this automatically for any number.

Frequently asked questions about 241

What are the factors of 241?

The factors of 241 are 1 and 241. That is 2 factors in total, counting both 1 and 241.

Is 241 a prime number?

Yes, 241 is a prime number. It has exactly two factors: 1 and 241. No other whole number divides it evenly.

What is the prime factorization of 241?

241 is already prime, so its prime factorization is simply 241. It cannot be broken down any further.

What two numbers multiply to give 241?

There is 1 pair of whole numbers that multiply to 241: 1 × 241.

What is the sum of the factors of 241?

Adding all the factors of 241 together gives 242. Excluding 241 itself, the proper factors sum to 1.

Is 241 a perfect square?

No, 241 is not a perfect square. There is no whole number that multiplies by itself to give 241. The nearest perfect squares are 225 and 256.

What is the largest factor of 241 other than itself?

The largest factor of 241 apart from 241 itself is 1, since 241 ÷ 1 = 241.

How many factors does 241 have?

241 has 2 factors: 1 and 241.

Explore more

Try another number in the factor calculator, break 241 down further with the prime factorization calculator, or compare 241 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.