Factor Calculator

Factors of 1077

The factors of 1077 are 1, 3, 359, and 1077. In total, 1077 has 4 factors. Its prime factorization is 3 × 359, and the sum of all its factors is 1440.

All factors of 1077

Here are all 4 factors of 1077, listed from smallest to largest.

133591077

Factor pairs of 1077

These 2 pairs of whole numbers each multiply to give 1077.

1 × 1077 = 1077
3 × 359 = 1077

Prime factorization of 1077

Dividing 1077 by the smallest prime at each step gives its prime factorization:

1077 ÷ 3 = 359
359 ÷ 359 = 1
Result: 1077 = 3 × 359 = 3 × 359

The distinct prime factors of 1077 are 3, 359. To factorize any other number, use the prime factorization calculator.

Factor tree of 1077

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

Factor tree of 107710773359
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1077

Number of factors4
Sum of factors1440
Sum of proper factors363
Prime factorization3 × 359
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1077 interesting

  • 1077 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.
  • 1077 is a deficient number: its proper factors sum to 363, which is 714 less than 1077 itself.

How to find the factors of 1077 yourself

Divide 1077 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 √1077 ≈ 32.82, because every factor above that pairs with one below it.

1077 ÷ 1 = 1077 ✓
1077 ÷ 3 = 359 ✓

Reading both columns gives every factor: 1, 3, 359, 1077. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1077.

Frequently asked questions about 1077

What are the factors of 1077?

The factors of 1077 are 1, 3, 359, and 1077. That is 4 factors in total, counting both 1 and 1077.

Is 1077 a prime number?

No, 1077 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1077 is also divisible by 3.

What is the prime factorization of 1077?

The prime factorization of 1077 is 3 × 359. Written out in full: 3 × 359 = 1077. Its distinct prime factors are 3, 359.

What two numbers multiply to give 1077?

There are 2 pairs of whole numbers that multiply to 1077: 1 × 1077, 3 × 359.

What is the sum of the factors of 1077?

Adding all the factors of 1077 together gives 1440. Excluding 1077 itself, the proper factors sum to 363.

Is 1077 a perfect square?

No, 1077 is not a perfect square. There is no whole number that multiplies by itself to give 1077. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1077 other than itself?

The largest factor of 1077 apart from 1077 itself is 359, since 1077 ÷ 359 = 3.

How many factors does 1077 have?

1077 has 4 factors: 1, 3, 359, and 1077. You can verify this from the prime factorization 3 × 359: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1077 down further with the prime factorization calculator, or compare 1077 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.