Q: What are the factor combinations of the number 932,425?

 A:
Positive:   1 x 9324255 x 18648513 x 7172519 x 4907525 x 3729765 x 1434595 x 9815151 x 6175247 x 3775325 x 2869475 x 1963755 x 1235
Negative: -1 x -932425-5 x -186485-13 x -71725-19 x -49075-25 x -37297-65 x -14345-95 x -9815-151 x -6175-247 x -3775-325 x -2869-475 x -1963-755 x -1235


How do I find the factor combinations of the number 932,425?

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 932,425, 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.

1 932,425
-1 -932,425

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 932,425.

Example:
1 x 932,425 = 932,425
and
-1 x -932,425 = 932,425
Notice both answers equal 932,425

With that explanation out of the way, let's continue. Next, we take the number 932,425 and divide it by 2:

932,425 ÷ 2 = 466,212.5

If the quotient is a whole number, then 2 and 466,212.5 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:

1 932,425
-1 -932,425

Now, we try dividing 932,425 by 3:

932,425 ÷ 3 = 310,808.3333

If the quotient is a whole number, then 3 and 310,808.3333 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:

1 932,425
-1 -932,425

Let's try dividing by 4:

932,425 ÷ 4 = 233,106.25

If the quotient is a whole number, then 4 and 233,106.25 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:

1 932,425
-1 932,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192565951512473254757551,2351,9632,8693,7756,1759,81514,34537,29749,07571,725186,485932,425
-1-5-13-19-25-65-95-151-247-325-475-755-1,235-1,963-2,869-3,775-6,175-9,815-14,345-37,297-49,075-71,725-186,485-932,425

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