priME

6125 = 7x7x5x5x5 so smallest prime factor is 5

Even without the right-hand side we can simply find the smallest prime factor. Go through the primes starting from 2 and see if they divide 6125.

Evidently 2 does not divide 6125 as it is odd, and 3 does not divide it either since $6+1+2+5=14$ and 3 does not divide 14 (this is the standard test for checking if an integer is divisible by 3 - add up the digits and if that number is divisible by 3, so is the original number).

The next prime is 5, and this divides 6125 as it ends in a 5 or 0. The smallest prime factor of 6125 is therefore $\large \color{#20A900}{\boxed{5}}$ .

$6125=49 \times 125=7 \times 7 \times 5 \times 25 = 7 \times 7 \times 5 \times 5 \times 5$

From the above prime factorization, the smallest prime factor is $5$ .

$6125 = 5^3 \times 7^2$

The answer is $\boxed{5}$

6125 = 5 5 5 7 7

On prime factorization of 6125,We get that 6125= $5\times5$ $\times5$ $\times7$ $\times7$ and here 5 is the smallest prime factor.

WE CAN USE FUNDAMENTAL THEROREM OF AIRTHMETIC WE CAN EXPRESS 6125 AS THE PRODUCTS OF PRIMES- 6125 = $7^{2}$ * $5^{3}$ THEN WE CAN SEE THAT SMALLEST PRIME NUMBER IN THE PRIME FACTORISATION IS 5. SO THE ANSWER IS $\boxed{5}$ .

5 yar itz simple