Question

Find the prime factorisation of the smallest 5 digit number

Answer 1

Answer: 2×2×2×2×5×5×5×5

Explanation:

The smallest 5 digit number is 10000. Its prime factorization is,

$\begin{tabular}{c | c }2&{10000}\\\cline{1-2}2&5000\\\cline{1-2}2&2500\\\cline{1-2}2&1250\\\cline{1-2}5&625\\\cline{1-2}5&125\\\cline{1-2}5&25\\\cline{1-2}5&5\\\cline{1-2}&1\\\end{tabular}$

Therefore,

2×2×2×2×5×5×5×5 = 10000

Answer 2

First of All, We need to know smallest 5 digit number, which is 10000.

Now,

$\boxed{ \boxed{ \boxed{ \tt \tiny{10000 = \red2 \times \red2 \times \red2 \times \red2 \times \red5 \times \red5 \times \red5 \times \red5}}}} \\ \\ = > 10000 = {2}^{4} \times {5}^{4}$