Why are Symmetric keys shorter than ASyemmetric keys and provide the same level of security.

Hello
Can someone please help me with the following question.
Can someone please give me a brief (if possible) why Symmetric Keys which are much shorter than Asymmetric keys provide a similar level of security (e.g. take as long to crack).
I understand RSA and can to the math with a piece of paper and the Windows advanced calculator (e.g. encrypt and decrypt a sort message using a couple of small prims likes 53 and 59).
I also understand ( to a very basic level) AES e.g. 128bit block cypher (I believe a CBC cypher using an unpredictable IV)
Is there a simple answer if someone says why are Symmetric keys shorted and just as secure or it is just how it is? due to the different math?
Thank you
AAnoterUser__
AAnotherUser__

Symmetric Key is used for same key for encrypsion & decryption but ASyemmetric key is used two keys (Public & private key) for
encrysion & decryption.
ASyemmetric
1. If Public key is used for  encrypsion then private key is used for decryption
2. If private key is is used for  encrypsion then public key is used for decryption.
3. It is more secure than Syemmetric
Regards,
Biswajit
MCTS, MCP 2003,MCSA 2003, MCSA:M 2003, CCNA, Enterprise Admin, ITIL F 2011
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