
How do you write as the product of prime factors?
Answer
463.2k+ views
Hint: Prime factorization is a way to write a composite number as the product of prime
factors. Prime factors are those numbers or factors which are greater than one and have exactly two
factors one is the number itself and other is one . There are basically two ways to find prime factorization namely ,
a) by division method
b) by factor tree
Here, in this question let us try to solve it as the product of prime factors by division method.
Complete step by step solution:
We know that the number is the smallest prime number. So, in order to find prime factors of , let us first divide by least prime number i.e., .
Now, we know that is not divisible by so we move to the next prime number known to us, which is , so divide by .
Now, we know that is not divisible by so we move to next prime number i.e., . but again, we know that is not divisible by so we move to next prime number i.e., . but again, we know that is not divisible by so we move to next prime number i.e., . therefore, we get ,
As now we got 1 as quotient, we can say that the prime factors of are .
In mathematical term the prime factorization of is written as,
.
Note: Here is another way of calculating prime factors of number , which is by factor tree. Under
This way, we split the number into its prime factors. It will be clearer through the
following diagram of factor tree.
factors. Prime factors are those numbers or factors which are greater than one and have exactly two
factors one is the number itself and other is one . There are basically two ways to find prime factorization namely ,
a) by division method
b) by factor tree
Here, in this question let us try to solve it as the product of prime factors by division method.
Complete step by step solution:
We know that the number
Now, we know that
Now, we know that
As now we got 1 as quotient, we can say that the prime factors of
In mathematical term the prime factorization of
Note: Here is another way of calculating prime factors of number
This way, we split the number into its prime factors. It will be clearer through the
following diagram of factor tree.

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