Q: What are the factor combinations of the number 244,915?

 A:
Positive:   1 x 2449155 x 4898311 x 2226555 x 445361 x 401573 x 3355305 x 803365 x 671
Negative: -1 x -244915-5 x -48983-11 x -22265-55 x -4453-61 x -4015-73 x -3355-305 x -803-365 x -671


How do I find the factor combinations of the number 244,915?

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 244,915, 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.

1 244,915
-1 -244,915

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 244,915.

Example:
1 x 244,915 = 244,915
and
-1 x -244,915 = 244,915
Notice both answers equal 244,915

With that explanation out of the way, let's continue. Next, we take the number 244,915 and divide it by 2:

244,915 ÷ 2 = 122,457.5

If the quotient is a whole number, then 2 and 122,457.5 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:

1 244,915
-1 -244,915

Now, we try dividing 244,915 by 3:

244,915 ÷ 3 = 81,638.3333

If the quotient is a whole number, then 3 and 81,638.3333 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:

1 244,915
-1 -244,915

Let's try dividing by 4:

244,915 ÷ 4 = 61,228.75

If the quotient is a whole number, then 4 and 61,228.75 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:

1 244,915
-1 244,915
Keep dividing by the next highest number until you cannot divide anymore.

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

15115561733053656718033,3554,0154,45322,26548,983244,915
-1-5-11-55-61-73-305-365-671-803-3,355-4,015-4,453-22,265-48,983-244,915

More Examples

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