Factor Calculator

Factors of 1101

The factors of 1101 are 1, 3, 367, and 1101. In total, 1101 has 4 factors. Its prime factorization is 3 × 367, and the sum of all its factors is 1472.

All factors of 1101

Here are all 4 factors of 1101, listed from smallest to largest.

133671101

Factor pairs of 1101

These 2 pairs of whole numbers each multiply to give 1101.

1 × 1101 = 1101
3 × 367 = 1101

Prime factorization of 1101

Dividing 1101 by the smallest prime at each step gives its prime factorization:

1101 ÷ 3 = 367
367 ÷ 367 = 1
Result: 1101 = 3 × 367 = 3 × 367

The distinct prime factors of 1101 are 3, 367. To factorize any other number, use the prime factorization calculator.

Factor tree of 1101

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

Factor tree of 110111013367
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1101

Number of factors4
Sum of factors1472
Sum of proper factors371
Prime factorization3 × 367
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1101 interesting

  • 1101 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.
  • 1101 is a deficient number: its proper factors sum to 371, which is 730 less than 1101 itself.

How to find the factors of 1101 yourself

Divide 1101 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 √1101 ≈ 33.18, because every factor above that pairs with one below it.

1101 ÷ 1 = 1101 ✓
1101 ÷ 3 = 367 ✓

Reading both columns gives every factor: 1, 3, 367, 1101. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1101.

Frequently asked questions about 1101

What are the factors of 1101?

The factors of 1101 are 1, 3, 367, and 1101. That is 4 factors in total, counting both 1 and 1101.

Is 1101 a prime number?

No, 1101 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1101 is also divisible by 3.

What is the prime factorization of 1101?

The prime factorization of 1101 is 3 × 367. Written out in full: 3 × 367 = 1101. Its distinct prime factors are 3, 367.

What two numbers multiply to give 1101?

There are 2 pairs of whole numbers that multiply to 1101: 1 × 1101, 3 × 367.

What is the sum of the factors of 1101?

Adding all the factors of 1101 together gives 1472. Excluding 1101 itself, the proper factors sum to 371.

Is 1101 a perfect square?

No, 1101 is not a perfect square. There is no whole number that multiplies by itself to give 1101. The nearest perfect squares are 1089 and 1156.

What is the largest factor of 1101 other than itself?

The largest factor of 1101 apart from 1101 itself is 367, since 1101 ÷ 367 = 3.

How many factors does 1101 have?

1101 has 4 factors: 1, 3, 367, and 1101. You can verify this from the prime factorization 3 × 367: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1101 down further with the prime factorization calculator, or compare 1101 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.