Factor Calculator

Factors of 1040

The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, and 1040. In total, 1040 has 20 factors. Its prime factorization is 2⁴ × 5 × 13, and the sum of all its factors is 2604.

All factors of 1040

Here are all 20 factors of 1040, listed from smallest to largest.

124581013162026405265801041302082605201040

Factor pairs of 1040

These 10 pairs of whole numbers each multiply to give 1040.

1 × 1040 = 1040
2 × 520 = 1040
4 × 260 = 1040
5 × 208 = 1040
8 × 130 = 1040
10 × 104 = 1040
13 × 80 = 1040
16 × 65 = 1040
20 × 52 = 1040
26 × 40 = 1040

Prime factorization of 1040

Dividing 1040 by the smallest prime at each step gives its prime factorization:

1040 ÷ 2 = 520
520 ÷ 2 = 260
260 ÷ 2 = 130
130 ÷ 2 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 1040 = 2 × 2 × 2 × 2 × 5 × 13 = 2⁴ × 5 × 13

The distinct prime factors of 1040 are 2, 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 1040

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

Factor tree of 10401040252022602130265513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1040

Number of factors20
Sum of factors2604
Sum of proper factors1564
Prime factorization2⁴ × 5 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1040 interesting

  • 1040 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
  • 1040 is an abundant number: its proper factors sum to 1564, which is 524 more than 1040 itself.
  • 1040 has 3 distinct prime factors (2, 5, 13), which is why it has so many divisors.

How to find the factors of 1040 yourself

Divide 1040 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 √1040 ≈ 32.25, because every factor above that pairs with one below it.

1040 ÷ 1 = 1040 ✓
1040 ÷ 2 = 520 ✓
1040 ÷ 4 = 260 ✓
1040 ÷ 5 = 208 ✓
1040 ÷ 8 = 130 ✓
1040 ÷ 10 = 104 ✓
1040 ÷ 13 = 80 ✓
1040 ÷ 16 = 65 ✓
1040 ÷ 20 = 52 ✓
1040 ÷ 26 = 40 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1040.

Frequently asked questions about 1040

What are the factors of 1040?

The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, and 1040. That is 20 factors in total, counting both 1 and 1040.

Is 1040 a prime number?

No, 1040 is not prime — it is a composite number with 20 factors. A prime number has exactly two factors, but 1040 is also divisible by 2.

What is the prime factorization of 1040?

The prime factorization of 1040 is 2⁴ × 5 × 13. Written out in full: 2 × 2 × 2 × 2 × 5 × 13 = 1040. Its distinct prime factors are 2, 5, 13.

What two numbers multiply to give 1040?

There are 10 pairs of whole numbers that multiply to 1040: 1 × 1040, 2 × 520, 4 × 260, 5 × 208, 8 × 130, 10 × 104, 13 × 80, 16 × 65, 20 × 52, 26 × 40.

What is the sum of the factors of 1040?

Adding all the factors of 1040 together gives 2604. Excluding 1040 itself, the proper factors sum to 1564.

Is 1040 a perfect square?

No, 1040 is not a perfect square. There is no whole number that multiplies by itself to give 1040. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1040 other than itself?

The largest factor of 1040 apart from 1040 itself is 520, since 1040 ÷ 520 = 2.

How many factors does 1040 have?

1040 has 20 factors: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, and 1040. You can verify this from the prime factorization 2⁴ × 5 × 13: add 1 to each exponent and multiply, giving 5 × 2 × 2 = 20.

Explore more

Try another number in the factor calculator, break 1040 down further with the prime factorization calculator, or compare 1040 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.