Q: What are the factor combinations of the number 31,432,135?

 A:
Positive:   1 x 314321355 x 62864277 x 449030535 x 898061317 x 991551585 x 198312219 x 141652833 x 11095
Negative: -1 x -31432135-5 x -6286427-7 x -4490305-35 x -898061-317 x -99155-1585 x -19831-2219 x -14165-2833 x -11095


How do I find the factor combinations of the number 31,432,135?

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 31,432,135, 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 31,432,135
-1 -31,432,135

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 31,432,135.

Example:
1 x 31,432,135 = 31,432,135
and
-1 x -31,432,135 = 31,432,135
Notice both answers equal 31,432,135

With that explanation out of the way, let's continue. Next, we take the number 31,432,135 and divide it by 2:

31,432,135 ÷ 2 = 15,716,067.5

If the quotient is a whole number, then 2 and 15,716,067.5 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 31,432,135
-1 -31,432,135

Now, we try dividing 31,432,135 by 3:

31,432,135 ÷ 3 = 10,477,378.3333

If the quotient is a whole number, then 3 and 10,477,378.3333 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 31,432,135
-1 -31,432,135

Let's try dividing by 4:

31,432,135 ÷ 4 = 7,858,033.75

If the quotient is a whole number, then 4 and 7,858,033.75 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 31,432,135
-1 31,432,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157353171,5852,2192,83311,09514,16519,83199,155898,0614,490,3056,286,42731,432,135
-1-5-7-35-317-1,585-2,219-2,833-11,095-14,165-19,831-99,155-898,061-4,490,305-6,286,427-31,432,135

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