Look on the left side of your 1099-MISC. The number you need is in the box that says PAYER'S TIN. This box is the second box down from the top on the left-hand side. 

The "Payer" may not have a EIN/FED no. and uses their SSN instead, especially if they're a small business

@sethrawlins64

@Dougperson3 is correct. Check the circle box for SSN instead and enter the SSN.