Factor Calculator

Factors of 1062

The factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, and 1062. In total, 1062 has 12 factors. Its prime factorization is 2 × 3² × 59, and the sum of all its factors is 2340.

All factors of 1062

Here are all 12 factors of 1062, listed from smallest to largest.

1236918591181773545311062

Factor pairs of 1062

These 6 pairs of whole numbers each multiply to give 1062.

1 × 1062 = 1062
2 × 531 = 1062
3 × 354 = 1062
6 × 177 = 1062
9 × 118 = 1062
18 × 59 = 1062

Prime factorization of 1062

Dividing 1062 by the smallest prime at each step gives its prime factorization:

1062 ÷ 2 = 531
531 ÷ 3 = 177
177 ÷ 3 = 59
59 ÷ 59 = 1
Result: 1062 = 2 × 3 × 3 × 59 = 2 × 3² × 59

The distinct prime factors of 1062 are 2, 3, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 1062

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

Factor tree of 1062106225313177359
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1062

Number of factors12
Sum of factors2340
Sum of proper factors1278
Prime factorization2 × 3² × 59
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1062 interesting

  • 1062 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.
  • 1062 is an abundant number: its proper factors sum to 1278, which is 216 more than 1062 itself.
  • 1062 has 3 distinct prime factors (2, 3, 59), which is why it has so many divisors.

How to find the factors of 1062 yourself

Divide 1062 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 √1062 ≈ 32.59, because every factor above that pairs with one below it.

1062 ÷ 1 = 1062 ✓
1062 ÷ 2 = 531 ✓
1062 ÷ 3 = 354 ✓
1062 ÷ 6 = 177 ✓
1062 ÷ 9 = 118 ✓
1062 ÷ 18 = 59 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1062.

Frequently asked questions about 1062

What are the factors of 1062?

The factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, and 1062. That is 12 factors in total, counting both 1 and 1062.

Is 1062 a prime number?

No, 1062 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 1062 is also divisible by 2.

What is the prime factorization of 1062?

The prime factorization of 1062 is 2 × 3² × 59. Written out in full: 2 × 3 × 3 × 59 = 1062. Its distinct prime factors are 2, 3, 59.

What two numbers multiply to give 1062?

There are 6 pairs of whole numbers that multiply to 1062: 1 × 1062, 2 × 531, 3 × 354, 6 × 177, 9 × 118, 18 × 59.

What is the sum of the factors of 1062?

Adding all the factors of 1062 together gives 2340. Excluding 1062 itself, the proper factors sum to 1278.

Is 1062 a perfect square?

No, 1062 is not a perfect square. There is no whole number that multiplies by itself to give 1062. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1062 other than itself?

The largest factor of 1062 apart from 1062 itself is 531, since 1062 ÷ 531 = 2.

How many factors does 1062 have?

1062 has 12 factors: 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, and 1062. You can verify this from the prime factorization 2 × 3² × 59: add 1 to each exponent and multiply, giving 2 × 3 × 2 = 12.

Explore more

Try another number in the factor calculator, break 1062 down further with the prime factorization calculator, or compare 1062 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.