56 is a composite number and can be prime factorized. So what are all the factors (divisors) of the number 56?
A factor (a divisor) of the number 56 is a natural number B which when multiplied by another natural number C equals the given number 56. Both B and C are factors of 56.
To find all the factors (divisors) of the number 56:
- 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 56 = dividing the number 56 into smaller, prime numbers. The number 56 results from the multiplication of these prime numbers.
56 = 23 × 7
56 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?
56 = 23 × 7
Multiply the prime factors involved in the prime factorization of the number in all their unique combinations, that give different results.
Also consider the exponents of these prime factors.
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.
56 has 8 factors (divisors):
1; 2; 4; 7; 8; 14; 28 and 56
out of which 2 prime factors: 2 and 7
56 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.