Q: What are the factor combinations of the number 307,745,425?

 A:
Positive:   1 x 3077454255 x 6154908513 x 2367272525 x 1230981747 x 654777565 x 4734545235 x 1309555325 x 946909611 x 5036751175 x 2619113055 x 10073515275 x 20147
Negative: -1 x -307745425-5 x -61549085-13 x -23672725-25 x -12309817-47 x -6547775-65 x -4734545-235 x -1309555-325 x -946909-611 x -503675-1175 x -261911-3055 x -100735-15275 x -20147


How do I find the factor combinations of the number 307,745,425?

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 307,745,425, 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.

1 307,745,425
-1 -307,745,425

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 307,745,425.

Example:
1 x 307,745,425 = 307,745,425
and
-1 x -307,745,425 = 307,745,425
Notice both answers equal 307,745,425

With that explanation out of the way, let's continue. Next, we take the number 307,745,425 and divide it by 2:

307,745,425 ÷ 2 = 153,872,712.5

If the quotient is a whole number, then 2 and 153,872,712.5 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:

1 307,745,425
-1 -307,745,425

Now, we try dividing 307,745,425 by 3:

307,745,425 ÷ 3 = 102,581,808.3333

If the quotient is a whole number, then 3 and 102,581,808.3333 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:

1 307,745,425
-1 -307,745,425

Let's try dividing by 4:

307,745,425 ÷ 4 = 76,936,356.25

If the quotient is a whole number, then 4 and 76,936,356.25 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:

1 307,745,425
-1 307,745,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15132547652353256111,1753,05515,27520,147100,735261,911503,675946,9091,309,5554,734,5456,547,77512,309,81723,672,72561,549,085307,745,425
-1-5-13-25-47-65-235-325-611-1,175-3,055-15,275-20,147-100,735-261,911-503,675-946,909-1,309,555-4,734,545-6,547,775-12,309,817-23,672,725-61,549,085-307,745,425

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