Q: What are the factor combinations of the number 400,116,161?

 A:
Positive:   1 x 40011616129 x 1379710943 x 930502767 x 59718831247 x 3208631943 x 2059272881 x 1388814789 x 83549
Negative: -1 x -400116161-29 x -13797109-43 x -9305027-67 x -5971883-1247 x -320863-1943 x -205927-2881 x -138881-4789 x -83549


How do I find the factor combinations of the number 400,116,161?

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 400,116,161, 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.

1 400,116,161
-1 -400,116,161

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 400,116,161.

Example:
1 x 400,116,161 = 400,116,161
and
-1 x -400,116,161 = 400,116,161
Notice both answers equal 400,116,161

With that explanation out of the way, let's continue. Next, we take the number 400,116,161 and divide it by 2:

400,116,161 ÷ 2 = 200,058,080.5

If the quotient is a whole number, then 2 and 200,058,080.5 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:

1 400,116,161
-1 -400,116,161

Now, we try dividing 400,116,161 by 3:

400,116,161 ÷ 3 = 133,372,053.6667

If the quotient is a whole number, then 3 and 133,372,053.6667 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:

1 400,116,161
-1 -400,116,161

Let's try dividing by 4:

400,116,161 ÷ 4 = 100,029,040.25

If the quotient is a whole number, then 4 and 100,029,040.25 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:

1 400,116,161
-1 400,116,161
Keep dividing by the next highest number until you cannot divide anymore.

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

12943671,2471,9432,8814,78983,549138,881205,927320,8635,971,8839,305,02713,797,109400,116,161
-1-29-43-67-1,247-1,943-2,881-4,789-83,549-138,881-205,927-320,863-5,971,883-9,305,027-13,797,109-400,116,161

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