Q: What are the factor combinations of the number 400,223,537?

 A:
Positive:   1 x 4002235377 x 5717479117 x 23542561119 x 3363223151 x 26504871057 x 3786412567 x 15591117969 x 22273
Negative: -1 x -400223537-7 x -57174791-17 x -23542561-119 x -3363223-151 x -2650487-1057 x -378641-2567 x -155911-17969 x -22273


How do I find the factor combinations of the number 400,223,537?

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 400,223,537, 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.

1 400,223,537
-1 -400,223,537

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 400,223,537.

Example:
1 x 400,223,537 = 400,223,537
and
-1 x -400,223,537 = 400,223,537
Notice both answers equal 400,223,537

With that explanation out of the way, let's continue. Next, we take the number 400,223,537 and divide it by 2:

400,223,537 ÷ 2 = 200,111,768.5

If the quotient is a whole number, then 2 and 200,111,768.5 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:

1 400,223,537
-1 -400,223,537

Now, we try dividing 400,223,537 by 3:

400,223,537 ÷ 3 = 133,407,845.6667

If the quotient is a whole number, then 3 and 133,407,845.6667 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:

1 400,223,537
-1 -400,223,537

Let's try dividing by 4:

400,223,537 ÷ 4 = 100,055,884.25

If the quotient is a whole number, then 4 and 100,055,884.25 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:

1 400,223,537
-1 400,223,537
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191511,0572,56717,96922,273155,911378,6412,650,4873,363,22323,542,56157,174,791400,223,537
-1-7-17-119-151-1,057-2,567-17,969-22,273-155,911-378,641-2,650,487-3,363,223-23,542,561-57,174,791-400,223,537

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