Factors of 1047
The factors of 1047 are 1, 3, 349, and 1047. In total, 1047 has 4 factors. Its prime factorization is 3 × 349, and the sum of all its factors is 1400.
All factors of 1047
Here are all 4 factors of 1047, listed from smallest to largest.
Factor pairs of 1047
These 2 pairs of whole numbers each multiply to give 1047.
Prime factorization of 1047
Dividing 1047 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1047 are 3, 349. To factorize any other number, use the prime factorization calculator.
Factor tree of 1047
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1047
| Number of factors | 4 |
|---|---|
| Sum of factors | 1400 |
| Sum of proper factors | 353 |
| Prime factorization | 3 × 349 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1047 interesting
- 1047 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.
- 1047 is a deficient number: its proper factors sum to 353, which is 694 less than 1047 itself.
How to find the factors of 1047 yourself
Divide 1047 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 √1047 ≈ 32.36, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 349, 1047. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1047.
Frequently asked questions about 1047
What are the factors of 1047?
Is 1047 a prime number?
What is the prime factorization of 1047?
What two numbers multiply to give 1047?
What is the sum of the factors of 1047?
Is 1047 a perfect square?
What is the largest factor of 1047 other than itself?
How many factors does 1047 have?
Explore more
Try another number in the factor calculator, break 1047 down further with the prime factorization calculator, or compare 1047 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.