Q: What are the factor combinations of the number 307,505,555?

 A:
Positive:   1 x 3075055555 x 615011117 x 4392936535 x 87858731097 x 2803155485 x 560637679 x 400458009 x 38395
Negative: -1 x -307505555-5 x -61501111-7 x -43929365-35 x -8785873-1097 x -280315-5485 x -56063-7679 x -40045-8009 x -38395


How do I find the factor combinations of the number 307,505,555?

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 307,505,555, 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.

1 307,505,555
-1 -307,505,555

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 307,505,555.

Example:
1 x 307,505,555 = 307,505,555
and
-1 x -307,505,555 = 307,505,555
Notice both answers equal 307,505,555

With that explanation out of the way, let's continue. Next, we take the number 307,505,555 and divide it by 2:

307,505,555 ÷ 2 = 153,752,777.5

If the quotient is a whole number, then 2 and 153,752,777.5 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:

1 307,505,555
-1 -307,505,555

Now, we try dividing 307,505,555 by 3:

307,505,555 ÷ 3 = 102,501,851.6667

If the quotient is a whole number, then 3 and 102,501,851.6667 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:

1 307,505,555
-1 -307,505,555

Let's try dividing by 4:

307,505,555 ÷ 4 = 76,876,388.75

If the quotient is a whole number, then 4 and 76,876,388.75 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:

1 307,505,555
-1 307,505,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,0975,4857,6798,00938,39540,04556,063280,3158,785,87343,929,36561,501,111307,505,555
-1-5-7-35-1,097-5,485-7,679-8,009-38,395-40,045-56,063-280,315-8,785,873-43,929,365-61,501,111-307,505,555

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