Media playback is unsupported on your device Media caption Trump v Sanders: Billionaire and socialist shake up US 2016

Republican Donald Trump and Democrat Bernie Sanders have shaken up the US presidential race with decisive victories in the New Hampshire primary.

Billionaire Mr Trump is likely to get more than twice the number of votes of the next Republican candidate.

Senator Bernie Sanders, who beat Democratic rival Hillary Clinton by a huge margin, said his victory showed people wanted "real change".

Both candidates are riding on a wave of discontent with mainstream politics.

The aim of the primary race is to choose which candidates will represent the Republican and Democratic parties in November's presidential election.

On Tuesday Ohio Governor John Kasich came second in the Republican vote, with former Florida Governor Jeb Bush, Texas Senator Ted Cruz and Florida Senator Marco Rubio all vying for third place.

New Hampshire is the second state to choose delegates in the long nomination battle following last week's Iowa caucuses, which were won by Mr Cruz for the Republicans and Mrs Clinton for the Democrats.

The result gives momentum to the winners ahead of the next contests in South Carolina and Nevada.

Counting the votes

Live results as they come in

Latest news and reaction from New Hampshire

How primaries and caucuses work

How the US elects its president

The Republican race

Media playback is unsupported on your device Media caption Donald Trump: "We are going to make America so great again"

Mr Trump's lead in New Hampshire is the first time the New York businessman - who has never held political office - has translated his widespread support in opinion polls into an election victory.

In his victory speech, the real estate mogul congratulated Democratic winner Mr Sanders but sideswiped that "he wants to give away our country, folks!"

Mr Trump, 69, has pledged to deport millions of migrants who are living in the US illegally; build a wall along the border with Mexico; and impose a temporary ban on all Muslims entering the country.

Media playback is unsupported on your device Media caption John Kasich: "Change is in the air"

More from the Republican candidates:

Ohio Governor John Kasich, who performed strongly in New Hampshire, says he wants to lead America and "leave no-one behind" - read our profile of John Kasich here

Florida Senator Marco Rubio, who came a close third in Iowa, says he is "disappointed" with his New Hampshire finish and apologises to his supporters on Twitter

New Jersey Governor Chris Christie delivers a sombre speech, saying he would head home before deciding whether to proceed on to South Carolina or not

Jeb Bush, once considered the Republican frontrunner, tells a crowd of supporters "we're going to South Carolina!"

New Hampshire spend How much did candidates pay for ads? $36.1m Jeb Bush $12.1m John Kasich

$10.8m Hillary Clinton

$8.1m Bernie Sanders

$3.7m Donald Trump Getty Images

Image copyright Getty Images

The Democratic race

Media playback is unsupported on your device Media caption Bernie Sanders: "It is a political revolution that will bring tens of millions of our people together"

With close to 90% of the votes counted, Senator Sanders has a lead of more than 20 percentage points over Mrs Clinton in the two-horse race for the Democratic nomination.

He had topped polls in New Hampshire in recent months, but Tuesday's outcome is seen as a significant victory for the self-described Democratic socialist candidate.

"What the people here have said is that given the enormous crises facing our country, it is just too late for the same old, same old establishment politics and establishment economics," Mr Sanders told cheering supporters.

Media playback is unsupported on your device Media caption Larry Sanders discusses his brother Bernie Sanders' success in the US presidential race.

The 74-year-old has vowed to eradicate income inequality, provide free university education and break up big banks.

Mrs Clinton congratulated Mr Sanders, but said in a speech she would continue to fight for every vote in the campaign. Despite the setback, she still remains the frontrunner for the nomination.

Mrs Clinton's campaign manager, Robby Mook, said in a memo that they expected the race for the Democratic nomination "very likely" to be decided in March.

Media playback is unsupported on your device Media caption Hillary Clinton loses New Hampshire primary

The former secretary of state acknowledged before the polls that Mr Sanders had a natural advantage in New Hampshire because he represents the neighbouring state of Vermont as senator.

Mrs Clinton, who has more support from the Democratic establishment, narrowly won in Iowa.

Analysis: Anthony Zurcher, BBC North America reporter in New Hampshire

Donald Trump is back, and Bernie Sanders is booming. That is the clear takeaway from a New Hampshire primary night that ended with little drama at the top. Both the New York billionaire and the Democrat who derides the billionaire class appear poised to confirm their consistently large opinion poll leads here with double-digit wins.

For the past few weeks the drama on the Republican side has been the identity of the candidate who will finish second - and perhaps become the establishment candidate to take on Mr Trump and Iowa caucuses winner Ted Cruz.

For a while it looked as though that man would be Florida Senator Marco Rubio, but he seems destined for a middle-of-the-pack finish after a flop in Saturday's debate. Instead it could be John Kasich. But the Ohio governor has little in the way of campaign infrastructure set up in the southern states that vote next in the primary process.

Tuesday's results are likely to lend little clarity to the question of who gets the backing of mainstream Republicans. That is good news for Mr Cruz and Mr Trump, who will benefit from a fractured establishment field for at least a while longer.

Winner and losers from New Hampshire

What the papers say

It was "a runaway for Trump", according to the New Hampshire Union Leader. "Trump's loudmouthed, anti-establishment candidacy struck a nerve with the nation's first primary voters," it added.

The New York Daily News' front page again showed Mr Trump dressed as a clown, this time under the headline 'Dawn of the Brain Dead'.

The left-leaning Huffington Post website called Mr Sanders and Mr Trump's win "a double victory for populism", but on its front page said the latter's victory meant "New Hampshire voters endorse sexism, bigotry and xenophobia."

Mr Sanders' success "amounted to a powerful and painful rejection of Hillary Clinton", the New York Times said. "The success by two outsider candidates dealt a remarkable rebuke to the political establishment," it said.

The Columbus Dispatch, in John Kasich's state of Ohio, said he had "vaulted into the top tier" of Republican candidates, but added he "must immediately compete in political terrain decidedly less friendly to his relatively moderate, work-with-the-other-side approach".

Key dates to come

20 February - South Carolina primary (Republican); Nevada caucus (Democrat)

23 February - Nevada caucus (R)

27 February - South Carolina primary (D)

1 March - 'Super Tuesday' - 15 states or territories decide

18-21 July - Republican convention, nominee picked

25-28 July - Democratic convention, nominee picked

8 November - US presidential elections

In depth: Primary calendar