Q: What are the factor combinations of the number 228,700,087?

 A:
Positive:   1 x 2287000877 x 3267144111 x 2079091777 x 2970131367 x 6231612569 x 890234037 x 566518093 x 28259
Negative: -1 x -228700087-7 x -32671441-11 x -20790917-77 x -2970131-367 x -623161-2569 x -89023-4037 x -56651-8093 x -28259


How do I find the factor combinations of the number 228,700,087?

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 228,700,087, 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.

1 228,700,087
-1 -228,700,087

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 228,700,087.

Example:
1 x 228,700,087 = 228,700,087
and
-1 x -228,700,087 = 228,700,087
Notice both answers equal 228,700,087

With that explanation out of the way, let's continue. Next, we take the number 228,700,087 and divide it by 2:

228,700,087 ÷ 2 = 114,350,043.5

If the quotient is a whole number, then 2 and 114,350,043.5 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:

1 228,700,087
-1 -228,700,087

Now, we try dividing 228,700,087 by 3:

228,700,087 ÷ 3 = 76,233,362.3333

If the quotient is a whole number, then 3 and 76,233,362.3333 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:

1 228,700,087
-1 -228,700,087

Let's try dividing by 4:

228,700,087 ÷ 4 = 57,175,021.75

If the quotient is a whole number, then 4 and 57,175,021.75 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:

1 228,700,087
-1 228,700,087
Keep dividing by the next highest number until you cannot divide anymore.

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

1711773672,5694,0378,09328,25956,65189,023623,1612,970,13120,790,91732,671,441228,700,087
-1-7-11-77-367-2,569-4,037-8,093-28,259-56,651-89,023-623,161-2,970,131-20,790,917-32,671,441-228,700,087

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