Q: What are the factor combinations of the number 26,047?

 A:
Positive:   1 x 260477 x 372161 x 427
Negative: -1 x -26047-7 x -3721-61 x -427


How do I find the factor combinations of the number 26,047?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 26,047, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 26,047
-1 -26,047

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 26,047.

Example:
1 x 26,047 = 26,047
and
-1 x -26,047 = 26,047
Notice both answers equal 26,047

With that explanation out of the way, let's continue. Next, we take the number 26,047 and divide it by 2:

26,047 ÷ 2 = 13,023.5

If the quotient is a whole number, then 2 and 13,023.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 26,047
-1 -26,047

Now, we try dividing 26,047 by 3:

26,047 ÷ 3 = 8,682.3333

If the quotient is a whole number, then 3 and 8,682.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 26,047
-1 -26,047

Let's try dividing by 4:

26,047 ÷ 4 = 6,511.75

If the quotient is a whole number, then 4 and 6,511.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 26,047
-1 26,047
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17614273,72126,047
-1-7-61-427-3,721-26,047

More Examples

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