Q: What are the factor combinations of the number 294,245?

 A:
Positive:   1 x 2942455 x 588497 x 4203535 x 840749 x 6005245 x 1201
Negative: -1 x -294245-5 x -58849-7 x -42035-35 x -8407-49 x -6005-245 x -1201


How do I find the factor combinations of the number 294,245?

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 294,245, 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.

1 294,245
-1 -294,245

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 294,245.

Example:
1 x 294,245 = 294,245
and
-1 x -294,245 = 294,245
Notice both answers equal 294,245

With that explanation out of the way, let's continue. Next, we take the number 294,245 and divide it by 2:

294,245 ÷ 2 = 147,122.5

If the quotient is a whole number, then 2 and 147,122.5 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:

1 294,245
-1 -294,245

Now, we try dividing 294,245 by 3:

294,245 ÷ 3 = 98,081.6667

If the quotient is a whole number, then 3 and 98,081.6667 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:

1 294,245
-1 -294,245

Let's try dividing by 4:

294,245 ÷ 4 = 73,561.25

If the quotient is a whole number, then 4 and 73,561.25 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:

1 294,245
-1 294,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492451,2016,0058,40742,03558,849294,245
-1-5-7-35-49-245-1,201-6,005-8,407-42,035-58,849-294,245

More Examples

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