Question

Write the smallest 4 digit number and express it as product of its prime factor

Answer 1

Smallest 4-digit number = $\textbf{1000}$

“first find the prime factors of 1,000”
“Kindly refer to the attachment”

Express 1,000 as the product of it's prime factors —

1000 = 2×2×2×5×5×5

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Answer 2

Given:

The smallest 4 digit number

To find:

The product of its prime factors

Solution:

The required product is $2^{3}$×$5^{3}$.

We can obtain the prime factors' product by expanding the given term as a product of all of its factors.

So, the given number is a 4-digit number and is the smallest.

The number=1,000

Now, the prime factors of 1000 are as follows-

Prime factors of 1000=10×10×10

=2×5×2×5×2×5

=$2^{3}$×$5^{3}$

So, the factors' product=$2^{3}$×$5^{3}$

Therefore, the required product is $2^{3}$×$5^{3}$.