Question

Write the smallest 4-digit number.Express it as product of primes.

Answer 1

Answer:

Step-by-step explanation:

the smallest 4 digit no =1000.

the prime factorisation of 1000

=2*2*2*5*5*5.

i hope this.

Answer 2

• The smallest 4-digit number = 1000

• Expressing product of primes :

1000 = 2 × 2 × 2 × 5 × 5 × 5

Given :

The smallest 4-digit number

To find :

• The smallest 4-digit number

• Express the number as product of primes.

Solution :

Step 1 of 2 :

Write down the smallest 4-digit number

The smallest 4-digit number = 1000

Step 2 of 2 :

Express the number as product of primes.

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{2}}}&{\underline{\sf{\:\:1000 \:\:}}}\\ {\underline{\sf{2}}}&\underline{\sf{\:\:500 \:\:}} \\ {\underline{\sf{2}}}&\underline{\sf{\:\:250 \:\:}} \\\underline{\sf{5}}&\underline{\sf{\:\:125\:\:}}\\\underline{\sf{5}}&\underline{\sf{\:\:25\:\:}} \\ {\underline{\sf{5}}}&\underline{\sf{\:\:5\:\:}}\\\underline{\sf{}}&{\sf{\:\:1 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

On prime factorisation of 1000 we get

1000 = 2 × 2 × 2 × 5 × 5 × 5

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