Ex.1.2 Q1 Real Numbers Solution - NCERT Maths Class 10

Go back to  'Ex.1.2'


Express each number as a product of its prime factors:

(i) \(140\)    (ii) \(156\)    (iii) \(3825 \)   (iv) \(5005\)    (v) \(7429\)

 Video Solution
Real Numbers
Ex 1.2 | Question 1

Text Solution

What is known?

A number.

What is unknown?

The expression of the given number as a product of its prime factors.


Find the prime factors of the given numbers by prime factorisation method and then multiply the obtained prime numbers to get the product of the prime numbers.


(i) \(140\)

Prime factors of \(140\)

\[\begin{align}&=2,\;2,\;5,\;7 \\&={{2}^{2}}\times 5\times 7\end{align}\]

(ii) \(156\)

Prime factors of \(156\)

\[\begin{align}&=2\times 2\times 3\times 13 \\ &={{2}^{2}}\times 3\times 13 \end{align}\]

(iii) \(3825\)

Prime factors of \(3825\)

\[\begin{align}&=3\times 3\times 5\times 5\times 17 \\ &={{3}^{2}}\times {{5}^{2}}\times 17\end{align}\]

(iv) \(5005\)

Prime factors of \(5005\)

\[=5\times7\times11\times 13\]

(v) \(7429\)

Prime factors of \(7429\)

\[=17\times 19\times 23\]

Learn math from the experts and clarify doubts instantly

  • Instant doubt clearing (live one on one)
  • Learn from India’s best math teachers
  • Completely personalized curriculum