Factor Calculator

Factors of 1121

The factors of 1121 are 1, 19, 59, and 1121. In total, 1121 has 4 factors. Its prime factorization is 19 × 59, and the sum of all its factors is 1200.

All factors of 1121

Here are all 4 factors of 1121, listed from smallest to largest.

119591121

Factor pairs of 1121

These 2 pairs of whole numbers each multiply to give 1121.

1 × 1121 = 1121
19 × 59 = 1121

Prime factorization of 1121

Dividing 1121 by the smallest prime at each step gives its prime factorization:

1121 ÷ 19 = 59
59 ÷ 59 = 1
Result: 1121 = 19 × 59 = 19 × 59

The distinct prime factors of 1121 are 19, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 1121

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

Factor tree of 112111211959
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1121

Number of factors4
Sum of factors1200
Sum of proper factors79
Prime factorization19 × 59
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1121 interesting

  • 1121 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.
  • 1121 is a deficient number: its proper factors sum to 79, which is 1042 less than 1121 itself.

How to find the factors of 1121 yourself

Divide 1121 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 √1121 ≈ 33.48, because every factor above that pairs with one below it.

1121 ÷ 1 = 1121 ✓
1121 ÷ 19 = 59 ✓

Reading both columns gives every factor: 1, 19, 59, 1121. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1121.

Frequently asked questions about 1121

What are the factors of 1121?

The factors of 1121 are 1, 19, 59, and 1121. That is 4 factors in total, counting both 1 and 1121.

Is 1121 a prime number?

No, 1121 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1121 is also divisible by 19.

What is the prime factorization of 1121?

The prime factorization of 1121 is 19 × 59. Written out in full: 19 × 59 = 1121. Its distinct prime factors are 19, 59.

What two numbers multiply to give 1121?

There are 2 pairs of whole numbers that multiply to 1121: 1 × 1121, 19 × 59.

What is the sum of the factors of 1121?

Adding all the factors of 1121 together gives 1200. Excluding 1121 itself, the proper factors sum to 79.

Is 1121 a perfect square?

No, 1121 is not a perfect square. There is no whole number that multiplies by itself to give 1121. The nearest perfect squares are 1089 and 1156.

What is the largest factor of 1121 other than itself?

The largest factor of 1121 apart from 1121 itself is 59, since 1121 ÷ 59 = 19.

How many factors does 1121 have?

1121 has 4 factors: 1, 19, 59, and 1121. You can verify this from the prime factorization 19 × 59: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1121 down further with the prime factorization calculator, or compare 1121 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.