Answer

Verified

373.2k+ views

**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:**

\[140 = 2 \times 2 \times 5 \times 7\]

\[140 = 2 \times 2 \times 5 \times 7\]

**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.

Recently Updated Pages

How do you find slope point slope slope intercept standard class 12 maths CBSE

How do you find B1 We know that B2B+2I3 class 12 maths CBSE

How do you integrate int dfracxsqrt x2 + 9 dx class 12 maths CBSE

How do you integrate int left dfracx2 1x + 1 right class 12 maths CBSE

How do you find the critical points of yx2sin x on class 12 maths CBSE

How do you find the general solution to dfracdydx class 12 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

List some examples of Rabi and Kharif crops class 8 biology CBSE

Which are the Top 10 Largest Countries of the World?

The provincial president of the constituent assembly class 11 social science CBSE

Write the 6 fundamental rights of India and explain in detail