Q: What are the factor combinations of the number 89,036,392?

 A:
Positive:   1 x 890363922 x 445181964 x 222590988 x 111295491327 x 670962654 x 335485308 x 167748387 x 10616
Negative: -1 x -89036392-2 x -44518196-4 x -22259098-8 x -11129549-1327 x -67096-2654 x -33548-5308 x -16774-8387 x -10616


How do I find the factor combinations of the number 89,036,392?

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 89,036,392, 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 89,036,392
-1 -89,036,392

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 89,036,392.

Example:
1 x 89,036,392 = 89,036,392
and
-1 x -89,036,392 = 89,036,392
Notice both answers equal 89,036,392

With that explanation out of the way, let's continue. Next, we take the number 89,036,392 and divide it by 2:

89,036,392 ÷ 2 = 44,518,196

If the quotient is a whole number, then 2 and 44,518,196 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 44,518,196 89,036,392
-1 -2 -44,518,196 -89,036,392

Now, we try dividing 89,036,392 by 3:

89,036,392 ÷ 3 = 29,678,797.3333

If the quotient is a whole number, then 3 and 29,678,797.3333 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 2 44,518,196 89,036,392
-1 -2 -44,518,196 -89,036,392

Let's try dividing by 4:

89,036,392 ÷ 4 = 22,259,098

If the quotient is a whole number, then 4 and 22,259,098 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 22,259,098 44,518,196 89,036,392
-1 -2 -4 -22,259,098 -44,518,196 89,036,392
Keep dividing by the next highest number until you cannot divide anymore.

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

12481,3272,6545,3088,38710,61616,77433,54867,09611,129,54922,259,09844,518,19689,036,392
-1-2-4-8-1,327-2,654-5,308-8,387-10,616-16,774-33,548-67,096-11,129,549-22,259,098-44,518,196-89,036,392

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