Q: What are the factor combinations of the number 16,431,643?

 A:
Positive:   1 x 1643164331 x 53005353 x 31003173 x 225091137 x 1199391643 x 100012263 x 72613869 x 4247
Negative: -1 x -16431643-31 x -530053-53 x -310031-73 x -225091-137 x -119939-1643 x -10001-2263 x -7261-3869 x -4247


How do I find the factor combinations of the number 16,431,643?

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 16,431,643, 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 16,431,643
-1 -16,431,643

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 16,431,643.

Example:
1 x 16,431,643 = 16,431,643
and
-1 x -16,431,643 = 16,431,643
Notice both answers equal 16,431,643

With that explanation out of the way, let's continue. Next, we take the number 16,431,643 and divide it by 2:

16,431,643 ÷ 2 = 8,215,821.5

If the quotient is a whole number, then 2 and 8,215,821.5 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 16,431,643
-1 -16,431,643

Now, we try dividing 16,431,643 by 3:

16,431,643 ÷ 3 = 5,477,214.3333

If the quotient is a whole number, then 3 and 5,477,214.3333 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 16,431,643
-1 -16,431,643

Let's try dividing by 4:

16,431,643 ÷ 4 = 4,107,910.75

If the quotient is a whole number, then 4 and 4,107,910.75 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 16,431,643
-1 16,431,643
Keep dividing by the next highest number until you cannot divide anymore.

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

13153731371,6432,2633,8694,2477,26110,001119,939225,091310,031530,05316,431,643
-1-31-53-73-137-1,643-2,263-3,869-4,247-7,261-10,001-119,939-225,091-310,031-530,053-16,431,643

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