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Numbers that can be multiplied together to get another number are its factors.
A factor is a number that goes evenly into the number you're factoring.
When you factor a number, say 12, you break it into its smallest parts. You could start with 6 x 2 and then 6 can be factored into 2 x 3, so the factors of 12 could be 2 x 2 x 3. To factor x^2 + 5x + 4 is to break it down into simpler parts.
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