Q: What are the factor combinations of the number 230,000,015?

 A:
Positive:   1 x 2300000155 x 460000037 x 3285714529 x 793103535 x 6571429145 x 1586207203 x 11330051015 x 226601
Negative: -1 x -230000015-5 x -46000003-7 x -32857145-29 x -7931035-35 x -6571429-145 x -1586207-203 x -1133005-1015 x -226601


How do I find the factor combinations of the number 230,000,015?

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 230,000,015, 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.

1 230,000,015
-1 -230,000,015

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 230,000,015.

Example:
1 x 230,000,015 = 230,000,015
and
-1 x -230,000,015 = 230,000,015
Notice both answers equal 230,000,015

With that explanation out of the way, let's continue. Next, we take the number 230,000,015 and divide it by 2:

230,000,015 ÷ 2 = 115,000,007.5

If the quotient is a whole number, then 2 and 115,000,007.5 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:

1 230,000,015
-1 -230,000,015

Now, we try dividing 230,000,015 by 3:

230,000,015 ÷ 3 = 76,666,671.6667

If the quotient is a whole number, then 3 and 76,666,671.6667 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:

1 230,000,015
-1 -230,000,015

Let's try dividing by 4:

230,000,015 ÷ 4 = 57,500,003.75

If the quotient is a whole number, then 4 and 57,500,003.75 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:

1 230,000,015
-1 230,000,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,015226,6011,133,0051,586,2076,571,4297,931,03532,857,14546,000,003230,000,015
-1-5-7-29-35-145-203-1,015-226,601-1,133,005-1,586,207-6,571,429-7,931,035-32,857,145-46,000,003-230,000,015

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