Factor Calculator

Factors of 1043

The factors of 1043 are 1, 7, 149, and 1043. In total, 1043 has 4 factors. Its prime factorization is 7 × 149, and the sum of all its factors is 1200.

All factors of 1043

Here are all 4 factors of 1043, listed from smallest to largest.

171491043

Factor pairs of 1043

These 2 pairs of whole numbers each multiply to give 1043.

1 × 1043 = 1043
7 × 149 = 1043

Prime factorization of 1043

Dividing 1043 by the smallest prime at each step gives its prime factorization:

1043 ÷ 7 = 149
149 ÷ 149 = 1
Result: 1043 = 7 × 149 = 7 × 149

The distinct prime factors of 1043 are 7, 149. To factorize any other number, use the prime factorization calculator.

Factor tree of 1043

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

Factor tree of 104310437149
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1043

Number of factors4
Sum of factors1200
Sum of proper factors157
Prime factorization7 × 149
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1043 interesting

  • 1043 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.
  • 1043 is a deficient number: its proper factors sum to 157, which is 886 less than 1043 itself.

How to find the factors of 1043 yourself

Divide 1043 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 √104332.30, because every factor above that pairs with one below it.

1043 ÷ 1 = 1043
1043 ÷ 7 = 149

Reading both columns gives every factor: 1, 7, 149, 1043. The factor calculator does this automatically for any number.

Frequently asked questions about 1043

What are the factors of 1043?

The factors of 1043 are 1, 7, 149, and 1043. That is 4 factors in total, counting both 1 and 1043.

Is 1043 a prime number?

No, 1043 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1043 is also divisible by 7.

What is the prime factorization of 1043?

The prime factorization of 1043 is 7 × 149. Written out in full: 7 × 149 = 1043. Its distinct prime factors are 7, 149.

What two numbers multiply to give 1043?

There are 2 pairs of whole numbers that multiply to 1043: 1 × 1043, 7 × 149.

What is the sum of the factors of 1043?

Adding all the factors of 1043 together gives 1200. Excluding 1043 itself, the proper factors sum to 157.

Is 1043 a perfect square?

No, 1043 is not a perfect square. There is no whole number that multiplies by itself to give 1043. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1043 other than itself?

The largest factor of 1043 apart from 1043 itself is 149, since 1043 ÷ 149 = 7.

How many factors does 1043 have?

1043 has 4 factors: 1, 7, 149, and 1043. You can verify this from the prime factorization 7 × 149: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1043 down further with the prime factorization calculator, or compare 1043 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.