United States Republican presidential candidate Donald Trump secured a major victory in South Carolina on the back of the anti-Muslim vote, where he also told his audience that he “leads in every" Latino poll during his victory speech.

“I am leading in every poll with the Hispanics. They love me and I love them,” Trump said to a cheering crowd as he he delivered his victory speech in South Carolina, where he won more than 34 percent of the vote.

“Don’t worry, we are going to do the wall and Mexico’s going to pay for the wall... Believe me they will pay," he added, and not without irony.

RELATED: Latinos for Bernie Mobilize to Combat Hillary’s ‘Bullshit’

Meanwhile, former Secretary of State Hillary Clinton secured a narrow win over Vermont Senator Bernie Sanders in the Nevada caucus where she gathered 53 percent of the vote, while Sanders secured more than 47 percent.

However, despite his loss, Sanders proved that his campaign could mobilize quickly and battle the odds.

In his speech following the results, Sanders recalled that just a few weeks ago he was 25 points behind Clinton in the polls in Nevada. "We have the wind on our backs. We have the momentum," he said.

RELATED: Workers Disunited: Bernie Sanders Gets the Grassroots Vote

It’s possible that Sanders will win every state caucus from here on out, the Fifty Thirty Eight website, one of the most important websites for analyzing polls with an impressive record of predicting results, said after Clinton’s narrow win over the self-proclaimed social democrat.

Critics point to the fact that Sanders was able to get through to non-white voters and the Latinos in Nevada. According to one poll, Sanders had the support of 54 percent Latinos, which constitutes a significant blow to Clinton.

In 2008, against now-president Barack Obama, she won 64 percent of the Hispanic vote in Nevada, beating him in the state’s caucuses by 7 percentage points.

Also, The Hill website said that Sanders secured votes in rural and poorer areas in Nevada state, while Clinton's win in Nevada comes on the back of a strong showing in the minority-rich Clark County, home of Las Vegas.

RELATED: Poll Shows Sanders Ahead of Clinton Nationwide for First Time

During her victory speech, a victorious Clinton targeted Sanders by saying his campaign is only concerned with Wall Street. "We need more than a plan for the big banks, the middle class needs a raise.”

She also said that women must receive equal pay in the workplace. "Don't you think we've waited long enough? It's time for equal pay for equal work."

Meanwhile, Sanders remained strong on his policies and stressed the need for accountability for Wall Street and corporations, while promising to fix a broken justice system in the United States.

"We have a broken justice system … Our job is to bring justice back to the justice system." He stressed his campaign's main points on Wall Street, the banking system in the U.S. and the justice system.

OPINION: Sanders vs. Clinton on Trade, Immigration and Foreign Policy

From Nevada, the polls suggested 18 percent of caucus-goers were younger than 30, compared with 13 percent in 2008. More than 80 percent of those youngsters favored Sanders.

On a different note, Jeb Bush suspended his campaign after a weak showing in Saturday’s primary in South Carolina and the two earlier primaries. It seems the U.S. will not see a third president from the Bush family, at least for now.

In South Carolina, meanwhile, voters are still casting ballots in the Republican primary contest, which pits businessman Donald Trump against Texas Senator Ted Cruz, Florida Senator Marco Rubio and former Florida Governor Jeb Bush, among others.

OPINION: Black, Brown and Progressive: A New Voter Majority in the US?

Non-white voters will play a huge roll in today's contests. While Nevada's population is more than 26 percent Latino, South Carolina is more than a quarter Black. Iowa and New Hampshire, the only states that have voted up until now, are overwhelmingly white.

Washington state is also holding its Republican caucus, but voters will be choosing delegates for the party's national convention, not a president; that vote comes in May.

See below for live updates.