Factor Calculator

Factors of 1088

The factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, and 1088. In total, 1088 has 14 factors. Its prime factorization is 2⁶ × 17, and the sum of all its factors is 2286.

All factors of 1088

Here are all 14 factors of 1088, listed from smallest to largest.

12481617323464681362725441088

Factor pairs of 1088

These 7 pairs of whole numbers each multiply to give 1088.

1 × 1088 = 1088
2 × 544 = 1088
4 × 272 = 1088
8 × 136 = 1088
16 × 68 = 1088
17 × 64 = 1088
32 × 34 = 1088

Prime factorization of 1088

Dividing 1088 by the smallest prime at each step gives its prime factorization:

1088 ÷ 2 = 544
544 ÷ 2 = 272
272 ÷ 2 = 136
136 ÷ 2 = 68
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1
Result: 1088 = 2 × 2 × 2 × 2 × 2 × 2 × 17 = 2⁶ × 17

The distinct prime factors of 1088 are 2, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 1088

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

Factor tree of 10881088254422722136268234217
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1088

Number of factors14
Sum of factors2286
Sum of proper factors1198
Prime factorization2⁶ × 17
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1088 interesting

  • 1088 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 7 different ways.
  • 1088 is an abundant number: its proper factors sum to 1198, which is 110 more than 1088 itself.

How to find the factors of 1088 yourself

Divide 1088 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 √1088 ≈ 32.98, because every factor above that pairs with one below it.

1088 ÷ 1 = 1088 ✓
1088 ÷ 2 = 544 ✓
1088 ÷ 4 = 272 ✓
1088 ÷ 8 = 136 ✓
1088 ÷ 16 = 68 ✓
1088 ÷ 17 = 64 ✓
1088 ÷ 32 = 34 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1088.

Frequently asked questions about 1088

What are the factors of 1088?

The factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, and 1088. That is 14 factors in total, counting both 1 and 1088.

Is 1088 a prime number?

No, 1088 is not prime — it is a composite number with 14 factors. A prime number has exactly two factors, but 1088 is also divisible by 2.

What is the prime factorization of 1088?

The prime factorization of 1088 is 2⁶ × 17. Written out in full: 2 × 2 × 2 × 2 × 2 × 2 × 17 = 1088. Its distinct prime factors are 2, 17.

What two numbers multiply to give 1088?

There are 7 pairs of whole numbers that multiply to 1088: 1 × 1088, 2 × 544, 4 × 272, 8 × 136, 16 × 68, 17 × 64, 32 × 34.

What is the sum of the factors of 1088?

Adding all the factors of 1088 together gives 2286. Excluding 1088 itself, the proper factors sum to 1198.

Is 1088 a perfect square?

No, 1088 is not a perfect square. There is no whole number that multiplies by itself to give 1088. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1088 other than itself?

The largest factor of 1088 apart from 1088 itself is 544, since 1088 ÷ 544 = 2.

How many factors does 1088 have?

1088 has 14 factors: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, and 1088. You can verify this from the prime factorization 2⁶ × 17: add 1 to each exponent and multiply, giving 7 × 2 = 14.

Explore more

Try another number in the factor calculator, break 1088 down further with the prime factorization calculator, or compare 1088 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.