Q: What are the factor combinations of the number 307,483,477?

 A:
Positive:   1 x 3074834777 x 4392621141 x 749959749 x 6275173287 x 10713711681 x 1829172009 x 1530533733 x 8236911767 x 26131
Negative: -1 x -307483477-7 x -43926211-41 x -7499597-49 x -6275173-287 x -1071371-1681 x -182917-2009 x -153053-3733 x -82369-11767 x -26131


How do I find the factor combinations of the number 307,483,477?

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 307,483,477, 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.

1 307,483,477
-1 -307,483,477

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 307,483,477.

Example:
1 x 307,483,477 = 307,483,477
and
-1 x -307,483,477 = 307,483,477
Notice both answers equal 307,483,477

With that explanation out of the way, let's continue. Next, we take the number 307,483,477 and divide it by 2:

307,483,477 ÷ 2 = 153,741,738.5

If the quotient is a whole number, then 2 and 153,741,738.5 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:

1 307,483,477
-1 -307,483,477

Now, we try dividing 307,483,477 by 3:

307,483,477 ÷ 3 = 102,494,492.3333

If the quotient is a whole number, then 3 and 102,494,492.3333 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:

1 307,483,477
-1 -307,483,477

Let's try dividing by 4:

307,483,477 ÷ 4 = 76,870,869.25

If the quotient is a whole number, then 4 and 76,870,869.25 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:

1 307,483,477
-1 307,483,477
Keep dividing by the next highest number until you cannot divide anymore.

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

1741492871,6812,0093,73311,76726,13182,369153,053182,9171,071,3716,275,1737,499,59743,926,211307,483,477
-1-7-41-49-287-1,681-2,009-3,733-11,767-26,131-82,369-153,053-182,917-1,071,371-6,275,173-7,499,597-43,926,211-307,483,477

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