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Express 140 as a product of its prime factors.

seo-qna
Last updated date: 20th Jun 2024
Total views: 373.2k
Views today: 5.73k
Answer
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Hint:
In order to solve this question, we are required to express the given number as a product of its factors. Hence, we would simply use the prime factorization method with which, we would easily find the prime factors of 140. By multiplying all of them, we could express the given number as a product of its prime factors.

Complete step by step solution:
In this question, we are required to express the given number as a product of its prime factors.
First of all, prime factors are those factors which are greater than 1 and have only two factors, i.e. factor 1 and the prime number itself.
Now, in order to express the given number as a product of its prime factors, we are required to do the prime factorization of the given number.
Now, factorization is a method of writing an original number as the product of its various factors.
Hence, prime factorization is a method in which we write the original number as the product of various prime numbers.
Therefore, prime factorization of \[140\] is:
$\begin{matrix}
   2 \| \underline 140 \\
   2 \| \underline 70 \\
   5 \| \underline 35 \\
   7 \| \underline 7 \\
   {} \| \underline 1 \\
\end{matrix}$
Hence, 140 can be written as:
\[140 = 2 \times 2 \times 5 \times 7\]
Hence, we have expressed the given number as a product of its prime factors.

Therefore, the required answer is:
\[140 = 2 \times 2 \times 5 \times 7\]


Note:
In order to express a number as a product of its prime factors, it is really important to know what are prime numbers. Prime numbers are those numbers which are greater than 1 and have only two factors, i.e. factor 1 and the prime number itself. Hence, prime factorization is a method in which we write the original number as the product of various prime numbers.