Q: What are the factor combinations of the number 174,845?

 A:
Positive:   1 x 1748455 x 3496911 x 1589517 x 1028555 x 317985 x 2057121 x 1445187 x 935289 x 605
Negative: -1 x -174845-5 x -34969-11 x -15895-17 x -10285-55 x -3179-85 x -2057-121 x -1445-187 x -935-289 x -605


How do I find the factor combinations of the number 174,845?

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 174,845, 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.

1 174,845
-1 -174,845

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 174,845.

Example:
1 x 174,845 = 174,845
and
-1 x -174,845 = 174,845
Notice both answers equal 174,845

With that explanation out of the way, let's continue. Next, we take the number 174,845 and divide it by 2:

174,845 ÷ 2 = 87,422.5

If the quotient is a whole number, then 2 and 87,422.5 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:

1 174,845
-1 -174,845

Now, we try dividing 174,845 by 3:

174,845 ÷ 3 = 58,281.6667

If the quotient is a whole number, then 3 and 58,281.6667 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:

1 174,845
-1 -174,845

Let's try dividing by 4:

174,845 ÷ 4 = 43,711.25

If the quotient is a whole number, then 4 and 43,711.25 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:

1 174,845
-1 174,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851211872896059351,4452,0573,17910,28515,89534,969174,845
-1-5-11-17-55-85-121-187-289-605-935-1,445-2,057-3,179-10,285-15,895-34,969-174,845

More Examples

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