Factor Calculator

Factors of 1041

The factors of 1041 are 1, 3, 347, and 1041. In total, 1041 has 4 factors. Its prime factorization is 3 × 347, and the sum of all its factors is 1392.

All factors of 1041

Here are all 4 factors of 1041, listed from smallest to largest.

133471041

Factor pairs of 1041

These 2 pairs of whole numbers each multiply to give 1041.

1 × 1041 = 1041
3 × 347 = 1041

Prime factorization of 1041

Dividing 1041 by the smallest prime at each step gives its prime factorization:

1041 ÷ 3 = 347
347 ÷ 347 = 1
Result: 1041 = 3 × 347 = 3 × 347

The distinct prime factors of 1041 are 3, 347. To factorize any other number, use the prime factorization calculator.

Factor tree of 1041

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 104110413347
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1041

Number of factors4
Sum of factors1392
Sum of proper factors351
Prime factorization3 × 347
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1041 interesting

  • 1041 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 1041 is a deficient number: its proper factors sum to 351, which is 690 less than 1041 itself.

How to find the factors of 1041 yourself

Divide 1041 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 √1041 ≈ 32.26, because every factor above that pairs with one below it.

1041 ÷ 1 = 1041 ✓
1041 ÷ 3 = 347 ✓

Reading both columns gives every factor: 1, 3, 347, 1041. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1041.

Frequently asked questions about 1041

What are the factors of 1041?

The factors of 1041 are 1, 3, 347, and 1041. That is 4 factors in total, counting both 1 and 1041.

Is 1041 a prime number?

No, 1041 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1041 is also divisible by 3.

What is the prime factorization of 1041?

The prime factorization of 1041 is 3 × 347. Written out in full: 3 × 347 = 1041. Its distinct prime factors are 3, 347.

What two numbers multiply to give 1041?

There are 2 pairs of whole numbers that multiply to 1041: 1 × 1041, 3 × 347.

What is the sum of the factors of 1041?

Adding all the factors of 1041 together gives 1392. Excluding 1041 itself, the proper factors sum to 351.

Is 1041 a perfect square?

No, 1041 is not a perfect square. There is no whole number that multiplies by itself to give 1041. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1041 other than itself?

The largest factor of 1041 apart from 1041 itself is 347, since 1041 ÷ 347 = 3.

How many factors does 1041 have?

1041 has 4 factors: 1, 3, 347, and 1041. You can verify this from the prime factorization 3 × 347: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1041 down further with the prime factorization calculator, or compare 1041 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.