Q: What are the factor combinations of the number 53,887,021?

 A:
Positive:   1 x 5388702119 x 283615931 x 1738291191 x 282131479 x 112499589 x 914893629 x 148495921 x 9101
Negative: -1 x -53887021-19 x -2836159-31 x -1738291-191 x -282131-479 x -112499-589 x -91489-3629 x -14849-5921 x -9101


How do I find the factor combinations of the number 53,887,021?

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 53,887,021, 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 53,887,021
-1 -53,887,021

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 53,887,021.

Example:
1 x 53,887,021 = 53,887,021
and
-1 x -53,887,021 = 53,887,021
Notice both answers equal 53,887,021

With that explanation out of the way, let's continue. Next, we take the number 53,887,021 and divide it by 2:

53,887,021 ÷ 2 = 26,943,510.5

If the quotient is a whole number, then 2 and 26,943,510.5 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 53,887,021
-1 -53,887,021

Now, we try dividing 53,887,021 by 3:

53,887,021 ÷ 3 = 17,962,340.3333

If the quotient is a whole number, then 3 and 17,962,340.3333 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 53,887,021
-1 -53,887,021

Let's try dividing by 4:

53,887,021 ÷ 4 = 13,471,755.25

If the quotient is a whole number, then 4 and 13,471,755.25 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 53,887,021
-1 53,887,021
Keep dividing by the next highest number until you cannot divide anymore.

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

119311914795893,6295,9219,10114,84991,489112,499282,1311,738,2912,836,15953,887,021
-1-19-31-191-479-589-3,629-5,921-9,101-14,849-91,489-112,499-282,131-1,738,291-2,836,159-53,887,021

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