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The groups behind the march are described on its website as holding “intersecting identities” and having “varied issue-based interests” with different causes such as climate change, immigration and women’s rights.
Organisers said they aimed to confront Trump by “drawing on past successes and effective strategies against autocrats”.
A small group of Trump supporters were at the Washington Monument on Saturday. Noticing the men in red Make America Great Again hats, one People’s March leader with a megaphone approached chanting: “No Trump, no KKK.”
One of the men, Timothy Wallis, told the Associated Press news agency his friends had just bought the Trump hats from a street vendor.
Mr Wallis, 58, of Pocatello, Idaho, said the People’s March protesters had “every right” to demonstrate, though he said he was confused by the rancour.
“It’s sad where we’re at as a country,” he said.