* December payrolls much lower than expected, weather blamed
* Housing stocks rise as jobs report lowers 10-year yield
* Alcoa slides after results, Sears drops on holiday sales
* Dow off 0.1 pct; S&P 500 up 0.2 pct; Nasdaq up 0.3 pct
NEW YORK, Jan 10 (Reuters) - U.S. stocks were little changed on Friday after the December payrolls report came in much weaker than expected, raising new questions about both the strength of the economy and the aggressiveness of Federal Reserve stimulus.
But for the week, the S&P 500 and Nasdaq indexes were on track for modest gains, while the Dow Jones industrial average was set for a slight decline.
Defensive stocks were the day's gainers, with utilities and telecoms among the few rising for the day. Financial and energy shares were the weakest for the day; both are closely tied to the pace of economic growth.
Homebuilding stocks rose as the much weaker-than-expected payrolls report drove the yield of the benchmark 10-year U.S. Treasury note lower.
Shares of Lennar Corp gained 2.1 percent to $39.23. The stock of D.R. Horton Inc, the largest U.S. homebuilder, added 1.8 percent to $22.14. The PHLX housing index climbed 1 percent.
The Dow Jones industrial average fell 20.11 points or 0.12 percent, to 16,424.65. The S&P 500 gained 2.82 points or 0.15 percent, to 1,840.95. The Nasdaq Composite added 11.426 points or 0.27 percent, to 4,167.62.
U.S. Labor Department data showed only 74,000 workers were hired last month, the smallest increase since January 2011, and significantly below the 196,000 that economists had expected.
While the jobs report bucked the positive trend of recent employment data - including the ADP report and jobless claims - the setback was expected to be temporary amid signs that the number of hires may have been affected by cold weather.
Investors continue to assess economic data through the Fed's eyes as they try to gauge how quickly the central bank will reduce its market-friendly bond purchases. December was the first payrolls report since the U.S. central bank announced that it was reining in the stimulus program.
"Since economic momentum had seemed to be picking up, there were real concerns that tapering would become more aggressive throughout the year - fears that this report has washed away," said Alec Young, global equity strategist at S&P Capital IQ in New York.
"People are hoping this is an anomaly, and it seems like it was related to the weather, but if it is a trend, then that is a real threat to GDP and corporate earnings growth."
With the earnings season under way, shares of Alcoa Inc fell 5.2 percent to $10.14 a day after the company reported a massive quarterly loss. Alcoa's results were hurt by recent declines in aluminum prices and a non-cash impairment charge on smelter acquisitions.
The pace of companies reporting earnings is expected to pick up in the following week, when a number of banks report their quarterly and full-year results.
"Macro has been trumping everything for a while, and certainly Washington has been very important, but the spotlight goes on corporate earnings next week," said Phil Orlando, chief equity market strategist of Federated Investors in New York.
Only 5 percent of S&P 500 components have reported earnings so far, with half of them posting better-than-expected profits and 62.5 percent topping revenue forecasts. Historically, 63 percent beat profit estimates, while 61 percent beat on revenue.
Sears Holdings Corp shares slid 12.9 percent to $37.06 a day after the retailer reported steep declines in comparable-store sales at its Kmart and namesake U.S. chain in the crucial holiday season.
Target Corp said a massive payment-card data breach that occurred during the first three weeks of the holiday shopping season affected up to 70 million people, more than double its previous estimate. Its stock dropped 1.2 percent to $62.58.