Factor Calculator

Factors of 1042

The factors of 1042 are 1, 2, 521, and 1042. In total, 1042 has 4 factors. Its prime factorization is 2 × 521, and the sum of all its factors is 1566.

All factors of 1042

Here are all 4 factors of 1042, listed from smallest to largest.

125211042

Factor pairs of 1042

These 2 pairs of whole numbers each multiply to give 1042.

1 × 1042 = 1042
2 × 521 = 1042

Prime factorization of 1042

Dividing 1042 by the smallest prime at each step gives its prime factorization:

1042 ÷ 2 = 521
521 ÷ 521 = 1
Result: 1042 = 2 × 521 = 2 × 521

The distinct prime factors of 1042 are 2, 521. To factorize any other number, use the prime factorization calculator.

Factor tree of 1042

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

Factor tree of 104210422521
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1042

Number of factors4
Sum of factors1566
Sum of proper factors524
Prime factorization2 × 521
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1042 interesting

  • 1042 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 1042 is a deficient number: its proper factors sum to 524, which is 518 less than 1042 itself.

How to find the factors of 1042 yourself

Divide 1042 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 √104232.28, because every factor above that pairs with one below it.

1042 ÷ 1 = 1042
1042 ÷ 2 = 521

Reading both columns gives every factor: 1, 2, 521, 1042. The factor calculator does this automatically for any number.

Frequently asked questions about 1042

What are the factors of 1042?

The factors of 1042 are 1, 2, 521, and 1042. That is 4 factors in total, counting both 1 and 1042.

Is 1042 a prime number?

No, 1042 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1042 is also divisible by 2.

What is the prime factorization of 1042?

The prime factorization of 1042 is 2 × 521. Written out in full: 2 × 521 = 1042. Its distinct prime factors are 2, 521.

What two numbers multiply to give 1042?

There are 2 pairs of whole numbers that multiply to 1042: 1 × 1042, 2 × 521.

What is the sum of the factors of 1042?

Adding all the factors of 1042 together gives 1566. Excluding 1042 itself, the proper factors sum to 524.

Is 1042 a perfect square?

No, 1042 is not a perfect square. There is no whole number that multiplies by itself to give 1042. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1042 other than itself?

The largest factor of 1042 apart from 1042 itself is 521, since 1042 ÷ 521 = 2.

How many factors does 1042 have?

1042 has 4 factors: 1, 2, 521, and 1042. You can verify this from the prime factorization 2 × 521: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1042 down further with the prime factorization calculator, or compare 1042 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.