Answer:
Below
Step-by-step explanation:
Dividing by prime numbers :
2 | 10500
2 | 5250
3 | 2625
5 | 875
5 | 175
5 | 35
7.
So 10500 = 2*2*3*5*5*5*7
To find the smallest positive cube we need to multiply by 2 ( to get 3 2's in the prime factors), another 2 3's and another 2 7's
That is P = 2*3*3*7*7 = 882.
The perfect cube is 2^3*3^3*5*3*7^3 = 9261000.
