Question

Find the prime factorization of the number: $ 980 $

Answer 1

Hint: Prime factorization is the process of finding which prime numbers can be multiplied together to make the original number, where prime numbers are the numbers greater than $ 1 $ and which are not the product of any two smaller natural numbers. For Example: $ 2,{\text{ 3, 5, 7,}}...... $ $ 2 $ is the prime number as it can have only $ 1 $ factor. Here we will use a factor tree diagram to find the prime factorization.

Complete step-by-step answer:
In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization.
Here, determine the prime factors and start dividing the given number with the least prime number first by $ 2 $ then $ 3 $ if it is not divisible by $ 3 $ then move to $ 5 $ and so on...
Hence the given number can be written as the product of factors as –
 $ \Rightarrow 980 = 2 \times 2 \times 5 \times 7 \times 7 $
So, the correct answer is “ $ 2 \times 2 \times 5 \times 7 \times 7 $ ”.

Note: You should be very good in multiples. As, ultimately your answer depends on the multiplication of the numbers. Remember multiplies of the number at least till for the accurate and efficient solution. The prime factorization can also be done by using the long division method. Composite numbers are the numbers which are expressed as the multiple of prime numbers. For example: $ 4 = 2 \times 2 $ composite number is expressed as the product of two prime numbers in this case. Remember one number is neither prime nor composite.