Q: What are the factor combinations of the number 315,425?

 A:
Positive:   1 x 3154255 x 6308511 x 2867525 x 1261731 x 1017537 x 852555 x 5735155 x 2035185 x 1705275 x 1147341 x 925407 x 775
Negative: -1 x -315425-5 x -63085-11 x -28675-25 x -12617-31 x -10175-37 x -8525-55 x -5735-155 x -2035-185 x -1705-275 x -1147-341 x -925-407 x -775


How do I find the factor combinations of the number 315,425?

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 315,425, 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.

1 315,425
-1 -315,425

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 315,425.

Example:
1 x 315,425 = 315,425
and
-1 x -315,425 = 315,425
Notice both answers equal 315,425

With that explanation out of the way, let's continue. Next, we take the number 315,425 and divide it by 2:

315,425 ÷ 2 = 157,712.5

If the quotient is a whole number, then 2 and 157,712.5 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:

1 315,425
-1 -315,425

Now, we try dividing 315,425 by 3:

315,425 ÷ 3 = 105,141.6667

If the quotient is a whole number, then 3 and 105,141.6667 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:

1 315,425
-1 -315,425

Let's try dividing by 4:

315,425 ÷ 4 = 78,856.25

If the quotient is a whole number, then 4 and 78,856.25 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:

1 315,425
-1 315,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1511253137551551852753414077759251,1471,7052,0355,7358,52510,17512,61728,67563,085315,425
-1-5-11-25-31-37-55-155-185-275-341-407-775-925-1,147-1,705-2,035-5,735-8,525-10,175-12,617-28,675-63,085-315,425

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