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Question

How do you write 140 as the product of its prime factors?


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Solution

Express the given number as a product of its prime factors

Given number: 140.

The smallest prime number, which can be divided by 140 to get zero as the remainder, is 2.

1402=70.

The smallest prime number, which can be divided by 70 to get zero as the remainder, is 2.

702=35.

The smallest prime number, which can be divided by 35 to get zero as the remainder, is 5.

355=7.

7 itself is a prime number.

Thus, the prime factors of 140 are 2,2,5 and 7.

Hence, 140 can be expressed as 140=2×2×5×7.


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