Can I collect on my ex wife’s social security until 70 and then begin to collect on mine.

Q) I was married for nineteen years. Can I collect on my ex wife’s social security until 70 and then begin to collect on mine. I would like to continue working to see if I can increase my benefit due to my own work record.

A) According to the Social Security Administration: If you are divorced, but your marriage lasted 10 years or longer, you can receive benefits on your ex-spouse’s record (even if he or she has remarried) if:

You are unmarried;
You are age 62 or older;
Your ex-spouse is entitled to Social Security retirement or disability benefits and
The benefit you are entitled to receive based on your own work is less than the benefit you would receive based on your ex-spouse’s work.

Note: Your benefit as a divorced spouse is equal to one-half of your ex-spouse’s full retirement amount (or disability benefit) if you start receiving benefits at your full retirement age.
If you remarry, you generally cannot collect benefits on your former spouse’s record unless your later marriage ends (whether by death, divorce or annulment).
http://www.socialsecurity.gov/retire2/divspouse.htm