Q: What are the factor combinations of the number 88,845,319?

 A:
Positive:   1 x 8884531941 x 2166959823 x 1079532633 x 33743
Negative: -1 x -88845319-41 x -2166959-823 x -107953-2633 x -33743


How do I find the factor combinations of the number 88,845,319?

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 88,845,319, 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 88,845,319
-1 -88,845,319

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 88,845,319.

Example:
1 x 88,845,319 = 88,845,319
and
-1 x -88,845,319 = 88,845,319
Notice both answers equal 88,845,319

With that explanation out of the way, let's continue. Next, we take the number 88,845,319 and divide it by 2:

88,845,319 ÷ 2 = 44,422,659.5

If the quotient is a whole number, then 2 and 44,422,659.5 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 88,845,319
-1 -88,845,319

Now, we try dividing 88,845,319 by 3:

88,845,319 ÷ 3 = 29,615,106.3333

If the quotient is a whole number, then 3 and 29,615,106.3333 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 88,845,319
-1 -88,845,319

Let's try dividing by 4:

88,845,319 ÷ 4 = 22,211,329.75

If the quotient is a whole number, then 4 and 22,211,329.75 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 88,845,319
-1 88,845,319
Keep dividing by the next highest number until you cannot divide anymore.

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

1418232,63333,743107,9532,166,95988,845,319
-1-41-823-2,633-33,743-107,953-2,166,959-88,845,319

More Examples

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