34,375: Calculate all the factors (divisors) of the number (proper, improper and the prime factors)

The factors (divisors) of the number 34,375

34,375 is a composite number and can be prime factorized. So what are all the factors (divisors) of the number 34,375?

A factor (a divisor) of the number 34,375 is a natural number B which when multiplied by another natural number C equals the given number 34,375. Both B and C are factors of 34,375.


To find all the factors (divisors) of the number 34,375:
- 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 34,375 = dividing the number 34,375 into smaller, prime numbers. The number 34,375 results from the multiplication of these prime numbers.


34,375 = 55 × 11
34,375 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?

34,375 = 55 × 11


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.



The list of factors (divisors):

neither prime nor composite = 1
prime factor = 5
prime factor = 11
52 = 25
5 × 11 = 55
53 = 125
52 × 11 = 275
54 = 625
53 × 11 = 1,375
55 = 3,125
54 × 11 = 6,875
55 × 11 = 34,375

The final answer:
(scroll down)

34,375 has 12 factors (divisors):
1; 5; 11; 25; 55; 125; 275; 625; 1,375; 3,125; 6,875 and 34,375
out of which 2 prime factors: 5 and 11
34,375 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 34,375 = ? Nov 28 11:35 UTC (GMT)
The factors (divisors) of 644,708 = ? Nov 28 11:35 UTC (GMT)
The common factors (divisors) of 346,041 and 0 = ? Nov 28 11:35 UTC (GMT)
The factors (divisors) of 10,004,714 = ? Nov 28 11:35 UTC (GMT)
The common factors (divisors) of 1,527,086 and 0 = ? Nov 28 11:35 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