Templeton Care Facilities, Inc. was contemplating a stock dividend. The firm's stock price had risen over the last three years and was trading at $240 per share. The firm's board of directors felt that the trading range should be around $48 to $98, so they were initially considering a stock dividend that, other things remaining the same, would result in a $48 share price. On second thought, the firm's board of directors decided to use a stock split rather than a stock dividend, how many new shares should the firm issue for each outstanding share?

The necessary stock split factor is (?). (Round to the nearest integer.)