Q: What are the factor combinations of the number 16,361,137?

 A:
Positive:   1 x 1636113713 x 125854979 x 20710389 x 183833179 x 914031027 x 159311157 x 141412327 x 7031
Negative: -1 x -16361137-13 x -1258549-79 x -207103-89 x -183833-179 x -91403-1027 x -15931-1157 x -14141-2327 x -7031


How do I find the factor combinations of the number 16,361,137?

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 16,361,137, 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 16,361,137
-1 -16,361,137

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 16,361,137.

Example:
1 x 16,361,137 = 16,361,137
and
-1 x -16,361,137 = 16,361,137
Notice both answers equal 16,361,137

With that explanation out of the way, let's continue. Next, we take the number 16,361,137 and divide it by 2:

16,361,137 ÷ 2 = 8,180,568.5

If the quotient is a whole number, then 2 and 8,180,568.5 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 16,361,137
-1 -16,361,137

Now, we try dividing 16,361,137 by 3:

16,361,137 ÷ 3 = 5,453,712.3333

If the quotient is a whole number, then 3 and 5,453,712.3333 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 16,361,137
-1 -16,361,137

Let's try dividing by 4:

16,361,137 ÷ 4 = 4,090,284.25

If the quotient is a whole number, then 4 and 4,090,284.25 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 16,361,137
-1 16,361,137
Keep dividing by the next highest number until you cannot divide anymore.

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

11379891791,0271,1572,3277,03114,14115,93191,403183,833207,1031,258,54916,361,137
-1-13-79-89-179-1,027-1,157-2,327-7,031-14,141-15,931-91,403-183,833-207,103-1,258,549-16,361,137

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