Q: What are the factor combinations of the number 16,643,731?

 A:
Positive:   1 x 1664373113 x 128028717 x 979043127 x 131053221 x 75311593 x 280671651 x 100812159 x 7709
Negative: -1 x -16643731-13 x -1280287-17 x -979043-127 x -131053-221 x -75311-593 x -28067-1651 x -10081-2159 x -7709


How do I find the factor combinations of the number 16,643,731?

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 16,643,731, 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 16,643,731
-1 -16,643,731

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 16,643,731.

Example:
1 x 16,643,731 = 16,643,731
and
-1 x -16,643,731 = 16,643,731
Notice both answers equal 16,643,731

With that explanation out of the way, let's continue. Next, we take the number 16,643,731 and divide it by 2:

16,643,731 ÷ 2 = 8,321,865.5

If the quotient is a whole number, then 2 and 8,321,865.5 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 16,643,731
-1 -16,643,731

Now, we try dividing 16,643,731 by 3:

16,643,731 ÷ 3 = 5,547,910.3333

If the quotient is a whole number, then 3 and 5,547,910.3333 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 16,643,731
-1 -16,643,731

Let's try dividing by 4:

16,643,731 ÷ 4 = 4,160,932.75

If the quotient is a whole number, then 4 and 4,160,932.75 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 16,643,731
-1 16,643,731
Keep dividing by the next highest number until you cannot divide anymore.

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

113171272215931,6512,1597,70910,08128,06775,311131,053979,0431,280,28716,643,731
-1-13-17-127-221-593-1,651-2,159-7,709-10,081-28,067-75,311-131,053-979,043-1,280,287-16,643,731

More Examples

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