Q: What are the factor combinations of the number 88,440,163?

 A:
Positive:   1 x 884401637 x 12634309617 x 1433394319 x 20477
Negative: -1 x -88440163-7 x -12634309-617 x -143339-4319 x -20477


How do I find the factor combinations of the number 88,440,163?

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 88,440,163, 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 88,440,163
-1 -88,440,163

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 88,440,163.

Example:
1 x 88,440,163 = 88,440,163
and
-1 x -88,440,163 = 88,440,163
Notice both answers equal 88,440,163

With that explanation out of the way, let's continue. Next, we take the number 88,440,163 and divide it by 2:

88,440,163 ÷ 2 = 44,220,081.5

If the quotient is a whole number, then 2 and 44,220,081.5 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 88,440,163
-1 -88,440,163

Now, we try dividing 88,440,163 by 3:

88,440,163 ÷ 3 = 29,480,054.3333

If the quotient is a whole number, then 3 and 29,480,054.3333 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 88,440,163
-1 -88,440,163

Let's try dividing by 4:

88,440,163 ÷ 4 = 22,110,040.75

If the quotient is a whole number, then 4 and 22,110,040.75 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 88,440,163
-1 88,440,163
Keep dividing by the next highest number until you cannot divide anymore.

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

176174,31920,477143,33912,634,30988,440,163
-1-7-617-4,319-20,477-143,339-12,634,309-88,440,163

More Examples

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