There are a few such diagrams. One of the most popular is the factor tree. Here's an example:
210
105,2
35,3,2
7,5,3,2
2 x 3 x 5 x 7 = 210
A factor free is a diagram showing the prime factorization of a number.
A Factor Tree
factor tree
Showing a composite number as a product of prime numbers is called prime factorization.
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
53 is a prime number so there is no relevant prime factorization for it.
The only number with that prime factorization has to be 48.
When all the factors are prime numbers, that's a prime factorization.
421 is a prime number so it does not have prime factorization.
91 cannot be in the prime factorization of any number because it is not a prime number itself.
Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.
19 is a prime number, so it has no prime factorization.