Factors of 1029
The factors of 1029 are 1, 3, 7, 21, 49, 147, 343, and 1029. In total, 1029 has 8 factors. Its prime factorization is 3 × 7³, and the sum of all its factors is 1600.
All factors of 1029
Here are all 8 factors of 1029, listed from smallest to largest.
Factor pairs of 1029
These 4 pairs of whole numbers each multiply to give 1029.
Prime factorization of 1029
Dividing 1029 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1029 are 3, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 1029
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1029
| Number of factors | 8 |
|---|---|
| Sum of factors | 1600 |
| Sum of proper factors | 571 |
| Prime factorization | 3 × 7³ |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1029 interesting
- 1029 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 1029 is a deficient number: its proper factors sum to 571, which is 458 less than 1029 itself.
How to find the factors of 1029 yourself
Divide 1029 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 √1029 ≈ 32.08, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 7, 21, 49, 147, 343, 1029. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1029.
Frequently asked questions about 1029
What are the factors of 1029?
Is 1029 a prime number?
What is the prime factorization of 1029?
What two numbers multiply to give 1029?
What is the sum of the factors of 1029?
Is 1029 a perfect square?
What is the largest factor of 1029 other than itself?
How many factors does 1029 have?
Explore more
Try another number in the factor calculator, break 1029 down further with the prime factorization calculator, or compare 1029 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.