Q: What are the factor combinations of the number 13,425,643?

 A:
Positive:   1 x 134256437 x 191794911 x 122051377 x 174359113 x 118811791 x 169731243 x 108011543 x 8701
Negative: -1 x -13425643-7 x -1917949-11 x -1220513-77 x -174359-113 x -118811-791 x -16973-1243 x -10801-1543 x -8701


How do I find the factor combinations of the number 13,425,643?

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 13,425,643, 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 13,425,643
-1 -13,425,643

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 13,425,643.

Example:
1 x 13,425,643 = 13,425,643
and
-1 x -13,425,643 = 13,425,643
Notice both answers equal 13,425,643

With that explanation out of the way, let's continue. Next, we take the number 13,425,643 and divide it by 2:

13,425,643 ÷ 2 = 6,712,821.5

If the quotient is a whole number, then 2 and 6,712,821.5 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 13,425,643
-1 -13,425,643

Now, we try dividing 13,425,643 by 3:

13,425,643 ÷ 3 = 4,475,214.3333

If the quotient is a whole number, then 3 and 4,475,214.3333 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 13,425,643
-1 -13,425,643

Let's try dividing by 4:

13,425,643 ÷ 4 = 3,356,410.75

If the quotient is a whole number, then 4 and 3,356,410.75 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 13,425,643
-1 13,425,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771137911,2431,5438,70110,80116,973118,811174,3591,220,5131,917,94913,425,643
-1-7-11-77-113-791-1,243-1,543-8,701-10,801-16,973-118,811-174,359-1,220,513-1,917,949-13,425,643

More Examples

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