Question

please solve it by prime factorisation

Answer 1

Get the factors of the original no. And divide the no. with the factor which is not making any pair with itself.

Prime Factors of 1458 =2× 3×3 ×3 ×3 ×3× 3

Which is the same as = 2 x 3^6

2 is the only no. Which is not making pair.

2 is the smallest nos which divides 1458 to make it a perfecr square ANS

1458/2 = 729  

729  = (27)^2

Answer 2

The Prime Factorization is:

2 x 3 x 3 x 3 x 3 x 3 x 3

In Exponential Form:

2^1 x 3^6

CSV Format:

2, 3, 3, 3, 3, 3, 3

All Factors of 1458:

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458

Prime[1] = 2, Prime[2] = 3