#
The number n^2 is greater than 1,400,000 and has four different prime factors. If n is a positive odd integer, what is the least possible value of n?

1
by mrambabu1600

Log in to add a comment

by mrambabu1600

Log in to add a comment

The Brainliest Answer!

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

N is odd and have 4 different prime factors.

So even prime factor is not possible.

The smallest 4 prime odd prime numbers are 3,5,7 and 11.

approach-1:

√1400000 = 1183.33

so we need a number greater than or 1184

3×5×7×11 = 1155 <1184

3×5×7×11×3 = 1155×3 = 3465 > 1184

So number smallest number is**3465**

approach-2:

The smallest number with 3,5,7 and 11 as prime factors = 3×5×7×11 = 1155

1155² = 1334025 < 1400000

so the next smallest number is = (3×5×7×11)×3 = 1155×3 =**3465**

3465² > 1400000

So even prime factor is not possible.

The smallest 4 prime odd prime numbers are 3,5,7 and 11.

approach-1:

√1400000 = 1183.33

so we need a number greater than or 1184

3×5×7×11 = 1155 <1184

3×5×7×11×3 = 1155×3 = 3465 > 1184

So number smallest number is

approach-2:

The smallest number with 3,5,7 and 11 as prime factors = 3×5×7×11 = 1155

1155² = 1334025 < 1400000

so the next smallest number is = (3×5×7×11)×3 = 1155×3 =