Q: What are the factor combinations of the number 307,500,335?

 A:
Positive:   1 x 3075003355 x 6150006717 x 1808825585 x 3617651241 x 1275935289 x 1064015883 x 3482451205 x 2551871445 x 2128034097 x 750554415 x 6964915011 x 20485
Negative: -1 x -307500335-5 x -61500067-17 x -18088255-85 x -3617651-241 x -1275935-289 x -1064015-883 x -348245-1205 x -255187-1445 x -212803-4097 x -75055-4415 x -69649-15011 x -20485


How do I find the factor combinations of the number 307,500,335?

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 307,500,335, 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.

1 307,500,335
-1 -307,500,335

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 307,500,335.

Example:
1 x 307,500,335 = 307,500,335
and
-1 x -307,500,335 = 307,500,335
Notice both answers equal 307,500,335

With that explanation out of the way, let's continue. Next, we take the number 307,500,335 and divide it by 2:

307,500,335 ÷ 2 = 153,750,167.5

If the quotient is a whole number, then 2 and 153,750,167.5 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:

1 307,500,335
-1 -307,500,335

Now, we try dividing 307,500,335 by 3:

307,500,335 ÷ 3 = 102,500,111.6667

If the quotient is a whole number, then 3 and 102,500,111.6667 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:

1 307,500,335
-1 -307,500,335

Let's try dividing by 4:

307,500,335 ÷ 4 = 76,875,083.75

If the quotient is a whole number, then 4 and 76,875,083.75 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:

1 307,500,335
-1 307,500,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852412898831,2051,4454,0974,41515,01120,48569,64975,055212,803255,187348,2451,064,0151,275,9353,617,65118,088,25561,500,067307,500,335
-1-5-17-85-241-289-883-1,205-1,445-4,097-4,415-15,011-20,485-69,649-75,055-212,803-255,187-348,245-1,064,015-1,275,935-3,617,651-18,088,255-61,500,067-307,500,335

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