Q: What are the factor combinations of the number 307,406,477?

 A:
Positive:   1 x 3074064777 x 4391521123 x 13365499161 x 1909357251 x 12247271757 x 1749615773 x 532497607 x 40411
Negative: -1 x -307406477-7 x -43915211-23 x -13365499-161 x -1909357-251 x -1224727-1757 x -174961-5773 x -53249-7607 x -40411


How do I find the factor combinations of the number 307,406,477?

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 307,406,477, 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.

1 307,406,477
-1 -307,406,477

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 307,406,477.

Example:
1 x 307,406,477 = 307,406,477
and
-1 x -307,406,477 = 307,406,477
Notice both answers equal 307,406,477

With that explanation out of the way, let's continue. Next, we take the number 307,406,477 and divide it by 2:

307,406,477 ÷ 2 = 153,703,238.5

If the quotient is a whole number, then 2 and 153,703,238.5 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:

1 307,406,477
-1 -307,406,477

Now, we try dividing 307,406,477 by 3:

307,406,477 ÷ 3 = 102,468,825.6667

If the quotient is a whole number, then 3 and 102,468,825.6667 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:

1 307,406,477
-1 -307,406,477

Let's try dividing by 4:

307,406,477 ÷ 4 = 76,851,619.25

If the quotient is a whole number, then 4 and 76,851,619.25 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:

1 307,406,477
-1 307,406,477
Keep dividing by the next highest number until you cannot divide anymore.

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

17231612511,7575,7737,60740,41153,249174,9611,224,7271,909,35713,365,49943,915,211307,406,477
-1-7-23-161-251-1,757-5,773-7,607-40,411-53,249-174,961-1,224,727-1,909,357-13,365,499-43,915,211-307,406,477

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