Q: What are the factor combinations of the number 143,481,821?

 A:
Positive:   1 x 1434818217 x 2049740329 x 494764961 x 2352161203 x 706807427 x 3360231769 x 8110911587 x 12383
Negative: -1 x -143481821-7 x -20497403-29 x -4947649-61 x -2352161-203 x -706807-427 x -336023-1769 x -81109-11587 x -12383


How do I find the factor combinations of the number 143,481,821?

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 143,481,821, 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.

1 143,481,821
-1 -143,481,821

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 143,481,821.

Example:
1 x 143,481,821 = 143,481,821
and
-1 x -143,481,821 = 143,481,821
Notice both answers equal 143,481,821

With that explanation out of the way, let's continue. Next, we take the number 143,481,821 and divide it by 2:

143,481,821 ÷ 2 = 71,740,910.5

If the quotient is a whole number, then 2 and 71,740,910.5 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:

1 143,481,821
-1 -143,481,821

Now, we try dividing 143,481,821 by 3:

143,481,821 ÷ 3 = 47,827,273.6667

If the quotient is a whole number, then 3 and 47,827,273.6667 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:

1 143,481,821
-1 -143,481,821

Let's try dividing by 4:

143,481,821 ÷ 4 = 35,870,455.25

If the quotient is a whole number, then 4 and 35,870,455.25 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:

1 143,481,821
-1 143,481,821
Keep dividing by the next highest number until you cannot divide anymore.

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

1729612034271,76911,58712,38381,109336,023706,8072,352,1614,947,64920,497,403143,481,821
-1-7-29-61-203-427-1,769-11,587-12,383-81,109-336,023-706,807-2,352,161-4,947,649-20,497,403-143,481,821

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