  We show how in the standard electroweak model three $SU(2)_L$ Nambu
monopoles, each carrying electromagnetic (EM) and Z- magnetic fluxes, can merge
(through Z-strings) with a single $U(1)_Y$ Dirac monopole to yield a composite
monopole that only carries EM magnetic flux. Compatibility with the Dirac
quantization condition requires this composite monopole to carry six quanta
($12 \pi /e$) of magnetic charge, independent of the electroweak mixing angle
$\theta_w$. The Dirac monopole is not regular at the origin and the energy of
the composite monopole is therefore divergent. We discuss how this problem is
cured by embedding $U(1)_Y$ in a grand unified group such as $SU(5)$. A second
composite configuration with only one Nambu monopole and a colored $U(1)_Y$
Dirac monopole that has minimal EM charge of $4\pi/e$ is also described.
Finally, there exists a configuration with an EM charge of $8\pi/e$ as well as
screened color magnetic charge.
