diff --git a/lib/matplotlib/ticker.py b/lib/matplotlib/ticker.py
index 754f2158159d..4df8689e9ccb 100644
--- a/lib/matplotlib/ticker.py
+++ b/lib/matplotlib/ticker.py
@@ -928,10 +928,12 @@ def set_locs(self, locs=None):
             # Add labels between bases at log-spaced coefficients;
             # include base powers in case the locations include
             # "major" and "minor" points, as in colorbar.
-            c = np.logspace(0, 1, b//2 + 1, base=b)
+            c = np.logspace(0, 1, int(b)//2 + 1, base=b)
             self._sublabels = set(np.round(c))
+            # For base 10, this yields (1, 2, 3, 4, 6, 10).
         else:
-            self._sublabels = set(np.linspace(1, b, b))
+            # Label all integer multiples of base**n.
+            self._sublabels = set(np.arange(1, b + 1))
 
     def __call__(self, x, pos=None):
         """