SOLUTION: smallest natural number of 535392 forms a perfect square! Thanks!

Question 828384: smallest natural number of 535392 forms a perfect square!
Thanks!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Smallest natural number what of 535392 forms a perfect square? Smallest number made with the digits of 535392? Smallest factor of 535392?

The interesting question would be
"What is the smallest multiple of 535392 which is a perfect square?"

Dividing the number by prime factors in order we can get the prime factorization of 535392.
535392 � 2 = 267696
267696 � 2 =133848
133848 � 2 = 66924
66924 � 2 = 33462
33462 � 2 = 16731
16731 � 3 = 5577
5577 � 3 = 1859
1859 � 11 = 169
169 � 13 = 13
13 � 13 = 1
So
To be a perfect square the factor must come in pairs,
and the smallest multiple that is a perfect square is

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