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Ex-NBA star Tyson Chandler and his wife, Kimberly Chandler, are going their separate ways ... TMZ Sports has learned Kimberly filed for divorce this week.

Kimberly, according to court documents, cited irreconcilable differences as the reason for the split. The two had been married for 16 years and separated in August.

Kimberly often posted pictures of her and the former basketball player on social media during their relationship ... recently showing off a photo of the two from their trip to Coachella in 2016.

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