Is the number 3 divisible by 4,297? Can the first number be divided evenly by the second (without a remainder)? Compare the prime factorizations of the two numbers

Is the number 3 divisible by 4,297?

The number 3 is smaller than 4,297.
Could a smaller number be divisible by a larger one?

When are two numbers divisible?

The number 3 would be divisible by 4,297 only if its prime factorization contained all the prime factors that appear in the prime factorization of the number 4,297.


The prime factorization of the numbers:

The prime factorization of a number: finding the prime numbers that multiply together to make that number.


3 is a prime number and cannot be broken down into other prime factors.


4,297 is a prime number and cannot be broken down into other prime factors.



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


The prime factorization of the number 3 does not contain (all) the prime factors that occur in the prime factorization of 4,297.


The number 3 is not divisible by 4,297.


The number 3 is not divisible by 4,297.


The final answer:
(scroll down)

The number 3 is not divisible by 4,297.
3 < 4,297
The number 3 is not divisible by 4,297.
The prime factorization of the number 3 does not contain (all) the prime factors that occur in the prime factorization of 4,297.

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The divisibility of the natural numbers:

Method 1: Divide the numbers and check the remainder of the operation. If the remainder is zero, then the numbers are divisible.

Method 2: The prime factorization of the numbers (the decomposition of the numbers into prime factors).

1. What is the numbers' divisibility? 2. Divisibility rules. 3. Calculating the divisors (factors). 4. Quick ways to determine whether a number is divisible by another one or not.


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