Q: What are the factor combinations of the number 307,660,015?

 A:
Positive:   1 x 3076600155 x 6153200313 x 2366615565 x 4733231113 x 2722655565 x 5445311469 x 2094357345 x 41887
Negative: -1 x -307660015-5 x -61532003-13 x -23666155-65 x -4733231-113 x -2722655-565 x -544531-1469 x -209435-7345 x -41887


How do I find the factor combinations of the number 307,660,015?

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 307,660,015, 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.

1 307,660,015
-1 -307,660,015

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 307,660,015.

Example:
1 x 307,660,015 = 307,660,015
and
-1 x -307,660,015 = 307,660,015
Notice both answers equal 307,660,015

With that explanation out of the way, let's continue. Next, we take the number 307,660,015 and divide it by 2:

307,660,015 ÷ 2 = 153,830,007.5

If the quotient is a whole number, then 2 and 153,830,007.5 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:

1 307,660,015
-1 -307,660,015

Now, we try dividing 307,660,015 by 3:

307,660,015 ÷ 3 = 102,553,338.3333

If the quotient is a whole number, then 3 and 102,553,338.3333 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:

1 307,660,015
-1 -307,660,015

Let's try dividing by 4:

307,660,015 ÷ 4 = 76,915,003.75

If the quotient is a whole number, then 4 and 76,915,003.75 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:

1 307,660,015
-1 307,660,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651135651,4697,34541,887209,435544,5312,722,6554,733,23123,666,15561,532,003307,660,015
-1-5-13-65-113-565-1,469-7,345-41,887-209,435-544,531-2,722,655-4,733,231-23,666,155-61,532,003-307,660,015

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