Q: What are the factor combinations of the number 405,507,865?

 A:
Positive:   1 x 4055078655 x 811015737 x 5792969535 x 11585939263 x 15418551315 x 3083711841 x 2202659205 x 44053
Negative: -1 x -405507865-5 x -81101573-7 x -57929695-35 x -11585939-263 x -1541855-1315 x -308371-1841 x -220265-9205 x -44053


How do I find the factor combinations of the number 405,507,865?

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 405,507,865, 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.

1 405,507,865
-1 -405,507,865

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 405,507,865.

Example:
1 x 405,507,865 = 405,507,865
and
-1 x -405,507,865 = 405,507,865
Notice both answers equal 405,507,865

With that explanation out of the way, let's continue. Next, we take the number 405,507,865 and divide it by 2:

405,507,865 ÷ 2 = 202,753,932.5

If the quotient is a whole number, then 2 and 202,753,932.5 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:

1 405,507,865
-1 -405,507,865

Now, we try dividing 405,507,865 by 3:

405,507,865 ÷ 3 = 135,169,288.3333

If the quotient is a whole number, then 3 and 135,169,288.3333 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:

1 405,507,865
-1 -405,507,865

Let's try dividing by 4:

405,507,865 ÷ 4 = 101,376,966.25

If the quotient is a whole number, then 4 and 101,376,966.25 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:

1 405,507,865
-1 405,507,865
Keep dividing by the next highest number until you cannot divide anymore.

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

157352631,3151,8419,20544,053220,265308,3711,541,85511,585,93957,929,69581,101,573405,507,865
-1-5-7-35-263-1,315-1,841-9,205-44,053-220,265-308,371-1,541,855-11,585,939-57,929,695-81,101,573-405,507,865

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