Q: What are the factor combinations of the number 88,178,867?

 A:
Positive:   1 x 881788677 x 1259698119 x 4640993133 x 662999
Negative: -1 x -88178867-7 x -12596981-19 x -4640993-133 x -662999


How do I find the factor combinations of the number 88,178,867?

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 88,178,867, 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 88,178,867
-1 -88,178,867

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 88,178,867.

Example:
1 x 88,178,867 = 88,178,867
and
-1 x -88,178,867 = 88,178,867
Notice both answers equal 88,178,867

With that explanation out of the way, let's continue. Next, we take the number 88,178,867 and divide it by 2:

88,178,867 ÷ 2 = 44,089,433.5

If the quotient is a whole number, then 2 and 44,089,433.5 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 88,178,867
-1 -88,178,867

Now, we try dividing 88,178,867 by 3:

88,178,867 ÷ 3 = 29,392,955.6667

If the quotient is a whole number, then 3 and 29,392,955.6667 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 88,178,867
-1 -88,178,867

Let's try dividing by 4:

88,178,867 ÷ 4 = 22,044,716.75

If the quotient is a whole number, then 4 and 22,044,716.75 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 88,178,867
-1 88,178,867
Keep dividing by the next highest number until you cannot divide anymore.

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

1719133662,9994,640,99312,596,98188,178,867
-1-7-19-133-662,999-4,640,993-12,596,981-88,178,867

More Examples

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