Q: What are the factor combinations of the number 950,425?

 A:
Positive:   1 x 9504255 x 1900857 x 13577525 x 3801735 x 27155175 x 5431
Negative: -1 x -950425-5 x -190085-7 x -135775-25 x -38017-35 x -27155-175 x -5431


How do I find the factor combinations of the number 950,425?

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 950,425, 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.

1 950,425
-1 -950,425

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 950,425.

Example:
1 x 950,425 = 950,425
and
-1 x -950,425 = 950,425
Notice both answers equal 950,425

With that explanation out of the way, let's continue. Next, we take the number 950,425 and divide it by 2:

950,425 ÷ 2 = 475,212.5

If the quotient is a whole number, then 2 and 475,212.5 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:

1 950,425
-1 -950,425

Now, we try dividing 950,425 by 3:

950,425 ÷ 3 = 316,808.3333

If the quotient is a whole number, then 3 and 316,808.3333 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:

1 950,425
-1 -950,425

Let's try dividing by 4:

950,425 ÷ 4 = 237,606.25

If the quotient is a whole number, then 4 and 237,606.25 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:

1 950,425
-1 950,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351755,43127,15538,017135,775190,085950,425
-1-5-7-25-35-175-5,431-27,155-38,017-135,775-190,085-950,425

More Examples

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