Q: What are the factor combinations of the number 400,085?

 A:
Positive:   1 x 4000855 x 800177 x 5715523 x 1739535 x 1143149 x 816571 x 5635115 x 3479161 x 2485245 x 1633355 x 1127497 x 805
Negative: -1 x -400085-5 x -80017-7 x -57155-23 x -17395-35 x -11431-49 x -8165-71 x -5635-115 x -3479-161 x -2485-245 x -1633-355 x -1127-497 x -805


How do I find the factor combinations of the number 400,085?

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 400,085, 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.

1 400,085
-1 -400,085

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 400,085.

Example:
1 x 400,085 = 400,085
and
-1 x -400,085 = 400,085
Notice both answers equal 400,085

With that explanation out of the way, let's continue. Next, we take the number 400,085 and divide it by 2:

400,085 ÷ 2 = 200,042.5

If the quotient is a whole number, then 2 and 200,042.5 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:

1 400,085
-1 -400,085

Now, we try dividing 400,085 by 3:

400,085 ÷ 3 = 133,361.6667

If the quotient is a whole number, then 3 and 133,361.6667 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:

1 400,085
-1 -400,085

Let's try dividing by 4:

400,085 ÷ 4 = 100,021.25

If the quotient is a whole number, then 4 and 100,021.25 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:

1 400,085
-1 400,085
Keep dividing by the next highest number until you cannot divide anymore.

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

157233549711151612453554978051,1271,6332,4853,4795,6358,16511,43117,39557,15580,017400,085
-1-5-7-23-35-49-71-115-161-245-355-497-805-1,127-1,633-2,485-3,479-5,635-8,165-11,431-17,395-57,155-80,017-400,085

More Examples

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