Factor Calculator

Factors of 1028

The factors of 1028 are 1, 2, 4, 257, 514, and 1028. In total, 1028 has 6 factors. Its prime factorization is 2² × 257, and the sum of all its factors is 1806.

All factors of 1028

Here are all 6 factors of 1028, listed from smallest to largest.

1242575141028

Factor pairs of 1028

These 3 pairs of whole numbers each multiply to give 1028.

1 × 1028 = 1028
2 × 514 = 1028
4 × 257 = 1028

Prime factorization of 1028

Dividing 1028 by the smallest prime at each step gives its prime factorization:

1028 ÷ 2 = 514
514 ÷ 2 = 257
257 ÷ 257 = 1
Result: 1028 = 2 × 2 × 257 = 2² × 257

The distinct prime factors of 1028 are 2, 257. To factorize any other number, use the prime factorization calculator.

Factor tree of 1028

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

Factor tree of 1028102825142257
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1028

Number of factors6
Sum of factors1806
Sum of proper factors778
Prime factorization2² × 257
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1028 interesting

  • 1028 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 1028 is a deficient number: its proper factors sum to 778, which is 250 less than 1028 itself.

How to find the factors of 1028 yourself

Divide 1028 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 √102832.06, because every factor above that pairs with one below it.

1028 ÷ 1 = 1028
1028 ÷ 2 = 514
1028 ÷ 4 = 257

Reading both columns gives every factor: 1, 2, 4, 257, 514, 1028. The factor calculator does this automatically for any number.

Frequently asked questions about 1028

What are the factors of 1028?

The factors of 1028 are 1, 2, 4, 257, 514, and 1028. That is 6 factors in total, counting both 1 and 1028.

Is 1028 a prime number?

No, 1028 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 1028 is also divisible by 2.

What is the prime factorization of 1028?

The prime factorization of 1028 is 2² × 257. Written out in full: 2 × 2 × 257 = 1028. Its distinct prime factors are 2, 257.

What two numbers multiply to give 1028?

There are 3 pairs of whole numbers that multiply to 1028: 1 × 1028, 2 × 514, 4 × 257.

What is the sum of the factors of 1028?

Adding all the factors of 1028 together gives 1806. Excluding 1028 itself, the proper factors sum to 778.

Is 1028 a perfect square?

No, 1028 is not a perfect square. There is no whole number that multiplies by itself to give 1028. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1028 other than itself?

The largest factor of 1028 apart from 1028 itself is 514, since 1028 ÷ 514 = 2.

How many factors does 1028 have?

1028 has 6 factors: 1, 2, 4, 257, 514, and 1028. You can verify this from the prime factorization 2² × 257: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 1028 down further with the prime factorization calculator, or compare 1028 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.