Factor Calculator

Factors of 1060

The factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, and 1060. In total, 1060 has 12 factors. Its prime factorization is 2² × 5 × 53, and the sum of all its factors is 2268.

All factors of 1060

Here are all 12 factors of 1060, listed from smallest to largest.

12451020531062122655301060

Factor pairs of 1060

These 6 pairs of whole numbers each multiply to give 1060.

1 × 1060 = 1060
2 × 530 = 1060
4 × 265 = 1060
5 × 212 = 1060
10 × 106 = 1060
20 × 53 = 1060

Prime factorization of 1060

Dividing 1060 by the smallest prime at each step gives its prime factorization:

1060 ÷ 2 = 530
530 ÷ 2 = 265
265 ÷ 5 = 53
53 ÷ 53 = 1
Result: 1060 = 2 × 2 × 5 × 53 = 2² × 5 × 53

The distinct prime factors of 1060 are 2, 5, 53. To factorize any other number, use the prime factorization calculator.

Factor tree of 1060

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

Factor tree of 1060106025302265553
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1060

Number of factors12
Sum of factors2268
Sum of proper factors1208
Prime factorization2² × 5 × 53
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1060 interesting

  • 1060 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 1060 is an abundant number: its proper factors sum to 1208, which is 148 more than 1060 itself.
  • 1060 has 3 distinct prime factors (2, 5, 53), which is why it has so many divisors.

How to find the factors of 1060 yourself

Divide 1060 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 √1060 ≈ 32.56, because every factor above that pairs with one below it.

1060 ÷ 1 = 1060 ✓
1060 ÷ 2 = 530 ✓
1060 ÷ 4 = 265 ✓
1060 ÷ 5 = 212 ✓
1060 ÷ 10 = 106 ✓
1060 ÷ 20 = 53 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1060.

Frequently asked questions about 1060

What are the factors of 1060?

The factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, and 1060. That is 12 factors in total, counting both 1 and 1060.

Is 1060 a prime number?

No, 1060 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 1060 is also divisible by 2.

What is the prime factorization of 1060?

The prime factorization of 1060 is 2² × 5 × 53. Written out in full: 2 × 2 × 5 × 53 = 1060. Its distinct prime factors are 2, 5, 53.

What two numbers multiply to give 1060?

There are 6 pairs of whole numbers that multiply to 1060: 1 × 1060, 2 × 530, 4 × 265, 5 × 212, 10 × 106, 20 × 53.

What is the sum of the factors of 1060?

Adding all the factors of 1060 together gives 2268. Excluding 1060 itself, the proper factors sum to 1208.

Is 1060 a perfect square?

No, 1060 is not a perfect square. There is no whole number that multiplies by itself to give 1060. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1060 other than itself?

The largest factor of 1060 apart from 1060 itself is 530, since 1060 ÷ 530 = 2.

How many factors does 1060 have?

1060 has 12 factors: 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, and 1060. You can verify this from the prime factorization 2² × 5 × 53: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 1060 down further with the prime factorization calculator, or compare 1060 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.