1,054: Calculate all the factors (divisors) of the number (proper, improper and the prime factors)

The factors (divisors) of the number 1,054

1,054 is a composite number and can be prime factorized. So what are all the factors (divisors) of the number 1,054?

A factor (a divisor) of the number 1,054 is a natural number B which when multiplied by another natural number C equals the given number 1,054. Both B and C are factors of 1,054.


To find all the factors (divisors) of the number 1,054:
- break down the number into prime factors (number's prime factorization),
- then multiply these prime factors in all their unique combinations, that give different results.



The prime factorization:

The prime factorization of the number 1,054 = dividing the number 1,054 into smaller, prime numbers. The number 1,054 results from the multiplication of these prime numbers.


1,054 = 2 × 17 × 31
1,054 is not a prime number but a composite one.


* The natural numbers that are only divisible by 1 and themselves are called prime numbers. A prime number has exactly two factors: 1 and the number itself.
* A composite number is a natural number that has at least one other factor than 1 and itself.




How do I find all the factors (divisors) of the number?

1,054 = 2 × 17 × 31


Multiply the prime factors involved in the prime factorization of the number in all their unique combinations, that give different results.


Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.


All the factors (divisors) are listed below - in ascending order.



The list of factors (divisors):

neither prime nor composite = 1
prime factor = 2
prime factor = 17
prime factor = 31
2 × 17 = 34
2 × 31 = 62
17 × 31 = 527
2 × 17 × 31 = 1,054

The final answer:
(scroll down)

1,054 has 8 factors (divisors):
1; 2; 17; 31; 34; 62; 527 and 1,054
out of which 3 prime factors: 2; 17 and 31
1,054 and 1 are called by some authors improper factors (improper divisors), the others are called proper factors (proper divisors).

A quick way to find the factors (the divisors) of a number is to break it down into prime factors.


Then multiply the prime factors and their exponents, if any, in all their different combinations.


The latest 5 sets of calculated factors (divisors): of one number or the common factors of two numbers

The factors (divisors) of 1,054 = ? Nov 28 12:40 UTC (GMT)
The common factors (divisors) of 7,359,456 and 0 = ? Nov 28 12:39 UTC (GMT)
The common factors (divisors) of 60,191,208 and 0 = ? Nov 28 12:39 UTC (GMT)
The common factors (divisors) of 3,004,925 and 0 = ? Nov 28 12:39 UTC (GMT)
The common factors (divisors) of 3,109,640 and 0 = ? Nov 28 12:39 UTC (GMT)
The list of all the calculated factors (divisors) of one or two numbers

Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

Some articles on the prime numbers

What is a prime number? Definition, examples

What is a composite number? Definition, examples

The prime numbers up to 1,000

The prime numbers up to 10,000

The Sieve of Eratosthenes

The Euclidean Algorithm

Completely reduce (simplify) fractions to the lowest terms: Steps and Examples