Q: What are the factor combinations of the number 16,773,869?

 A:
Positive:   1 x 167738697 x 2396267137 x 122437959 x 17491
Negative: -1 x -16773869-7 x -2396267-137 x -122437-959 x -17491


How do I find the factor combinations of the number 16,773,869?

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 16,773,869, 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 16,773,869
-1 -16,773,869

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 16,773,869.

Example:
1 x 16,773,869 = 16,773,869
and
-1 x -16,773,869 = 16,773,869
Notice both answers equal 16,773,869

With that explanation out of the way, let's continue. Next, we take the number 16,773,869 and divide it by 2:

16,773,869 ÷ 2 = 8,386,934.5

If the quotient is a whole number, then 2 and 8,386,934.5 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 16,773,869
-1 -16,773,869

Now, we try dividing 16,773,869 by 3:

16,773,869 ÷ 3 = 5,591,289.6667

If the quotient is a whole number, then 3 and 5,591,289.6667 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 16,773,869
-1 -16,773,869

Let's try dividing by 4:

16,773,869 ÷ 4 = 4,193,467.25

If the quotient is a whole number, then 4 and 4,193,467.25 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 16,773,869
-1 16,773,869
Keep dividing by the next highest number until you cannot divide anymore.

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

1713795917,491122,4372,396,26716,773,869
-1-7-137-959-17,491-122,437-2,396,267-16,773,869

More Examples

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