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    <p>Just one potential problem:</p> <pre><code>for(int i = 0; i &lt; numbers.size(); i++){ ... if(product == false){ numbers.remove(i); } } </code></pre> <p>This might skip numbers. Consider the list <code>N,P,*</code> (where <code>N</code> is a non-product palidrome, <code>P</code> is a product palindrome and <code>*</code> is any palindrome). i is 0 and since N is a non-product palidrome it will be removed and your list now is <code>P,*</code>. Now i will be increased to 1 and thus the i-th element is <code>*</code>. <code>P</code> will be skipped - ouch.</p> <p>To fix that, you might collect the palindromes into another set/list/collection and leave <code>numbers</code> unchanged.</p> <p>Alternatively iterate backwards, i.e. <code>for( i = numbers.size(); i &gt;= 0; i--)</code>.</p> <p>A thirds option would be to use an iterator, e.g. <code>for( Iterator&lt;Integer&gt; itr = numbers.iterator(); itr.hasNext(); ) { ... }</code> and then <code>itr.next()</code> and <code>itr.remove()</code>.</p> <p>Btw, you might want to use for a foreach loop whenever the value of <code>i</code> is not relevant, e.g. <code>for(Integer number : numbers )</code></p> <p><strong>Edit</strong>: changed the example from <code>10,11,12</code> to <code>65,66,67</code> to reduce confusion. Please note that it's still an example and not necessarily based on your actual data.</p> <p><strong>Edit 2</strong>: I changed the example to something more abstract to avoid (or generate? ;) ) further confusion. Since I can't currently think of a sequence of a non-product palindrome followed by a product palindrome (<code>product</code> here means matching the requirement of being a product of 2 one- or two-digit numbers), I changed it to <code>N,P,*</code>.</p> <p>I'll restate the point of my <em>potential bug</em> answer: when you iterate forward using indices and remove elements at the current or a lower index, you would skip elements, so don't do that unless you want that exact behavior.</p>
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    1. COI dont think the number 10 is present in the arraylist 'numbers'.
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    2. CO@Isp that was just an abstract example, you could use `65,66,67` as well. ;)
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    3. COyea got what you meant in your post, but the array contains only palindromes where as 65,67 are not.
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