Q: What are the factor combinations of the number 230,022,037?

 A:
Positive:   1 x 2300220377 x 3286029119 x 1210642371 x 3239747133 x 1729489497 x 4628211349 x 1705139443 x 24359
Negative: -1 x -230022037-7 x -32860291-19 x -12106423-71 x -3239747-133 x -1729489-497 x -462821-1349 x -170513-9443 x -24359


How do I find the factor combinations of the number 230,022,037?

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 230,022,037, 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.

1 230,022,037
-1 -230,022,037

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 230,022,037.

Example:
1 x 230,022,037 = 230,022,037
and
-1 x -230,022,037 = 230,022,037
Notice both answers equal 230,022,037

With that explanation out of the way, let's continue. Next, we take the number 230,022,037 and divide it by 2:

230,022,037 ÷ 2 = 115,011,018.5

If the quotient is a whole number, then 2 and 115,011,018.5 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:

1 230,022,037
-1 -230,022,037

Now, we try dividing 230,022,037 by 3:

230,022,037 ÷ 3 = 76,674,012.3333

If the quotient is a whole number, then 3 and 76,674,012.3333 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:

1 230,022,037
-1 -230,022,037

Let's try dividing by 4:

230,022,037 ÷ 4 = 57,505,509.25

If the quotient is a whole number, then 4 and 57,505,509.25 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:

1 230,022,037
-1 230,022,037
Keep dividing by the next highest number until you cannot divide anymore.

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

1719711334971,3499,44324,359170,513462,8211,729,4893,239,74712,106,42332,860,291230,022,037
-1-7-19-71-133-497-1,349-9,443-24,359-170,513-462,821-1,729,489-3,239,747-12,106,423-32,860,291-230,022,037

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