Q: What are the factor combinations of the number 156,600,403?

 A:
Positive:   1 x 15660040373 x 2145211331 x 4731136481 x 24163
Negative: -1 x -156600403-73 x -2145211-331 x -473113-6481 x -24163


How do I find the factor combinations of the number 156,600,403?

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 156,600,403, 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.

1 156,600,403
-1 -156,600,403

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 156,600,403.

Example:
1 x 156,600,403 = 156,600,403
and
-1 x -156,600,403 = 156,600,403
Notice both answers equal 156,600,403

With that explanation out of the way, let's continue. Next, we take the number 156,600,403 and divide it by 2:

156,600,403 ÷ 2 = 78,300,201.5

If the quotient is a whole number, then 2 and 78,300,201.5 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:

1 156,600,403
-1 -156,600,403

Now, we try dividing 156,600,403 by 3:

156,600,403 ÷ 3 = 52,200,134.3333

If the quotient is a whole number, then 3 and 52,200,134.3333 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:

1 156,600,403
-1 -156,600,403

Let's try dividing by 4:

156,600,403 ÷ 4 = 39,150,100.75

If the quotient is a whole number, then 4 and 39,150,100.75 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:

1 156,600,403
-1 156,600,403
Keep dividing by the next highest number until you cannot divide anymore.

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

1733316,48124,163473,1132,145,211156,600,403
-1-73-331-6,481-24,163-473,113-2,145,211-156,600,403

More Examples

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