Q: What are the factor combinations of the number 269,087?

 A:
Positive:   1 x 2690877 x 3844113 x 2069991 x 2957
Negative: -1 x -269087-7 x -38441-13 x -20699-91 x -2957


How do I find the factor combinations of the number 269,087?

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 269,087, 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.

1 269,087
-1 -269,087

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 269,087.

Example:
1 x 269,087 = 269,087
and
-1 x -269,087 = 269,087
Notice both answers equal 269,087

With that explanation out of the way, let's continue. Next, we take the number 269,087 and divide it by 2:

269,087 ÷ 2 = 134,543.5

If the quotient is a whole number, then 2 and 134,543.5 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:

1 269,087
-1 -269,087

Now, we try dividing 269,087 by 3:

269,087 ÷ 3 = 89,695.6667

If the quotient is a whole number, then 3 and 89,695.6667 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:

1 269,087
-1 -269,087

Let's try dividing by 4:

269,087 ÷ 4 = 67,271.75

If the quotient is a whole number, then 4 and 67,271.75 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:

1 269,087
-1 269,087
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912,95720,69938,441269,087
-1-7-13-91-2,957-20,699-38,441-269,087

More Examples

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