Q: What are the factor combinations of the number 16,849,385?

 A:
Positive:   1 x 168493855 x 33698777 x 240705535 x 48141149 x 34386597 x 173705245 x 68773485 x 34741679 x 24815709 x 237653395 x 49633545 x 4753
Negative: -1 x -16849385-5 x -3369877-7 x -2407055-35 x -481411-49 x -343865-97 x -173705-245 x -68773-485 x -34741-679 x -24815-709 x -23765-3395 x -4963-3545 x -4753


How do I find the factor combinations of the number 16,849,385?

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 16,849,385, 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 16,849,385
-1 -16,849,385

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 16,849,385.

Example:
1 x 16,849,385 = 16,849,385
and
-1 x -16,849,385 = 16,849,385
Notice both answers equal 16,849,385

With that explanation out of the way, let's continue. Next, we take the number 16,849,385 and divide it by 2:

16,849,385 ÷ 2 = 8,424,692.5

If the quotient is a whole number, then 2 and 8,424,692.5 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 16,849,385
-1 -16,849,385

Now, we try dividing 16,849,385 by 3:

16,849,385 ÷ 3 = 5,616,461.6667

If the quotient is a whole number, then 3 and 5,616,461.6667 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 16,849,385
-1 -16,849,385

Let's try dividing by 4:

16,849,385 ÷ 4 = 4,212,346.25

If the quotient is a whole number, then 4 and 4,212,346.25 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 16,849,385
-1 16,849,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549972454856797093,3953,5454,7534,96323,76524,81534,74168,773173,705343,865481,4112,407,0553,369,87716,849,385
-1-5-7-35-49-97-245-485-679-709-3,395-3,545-4,753-4,963-23,765-24,815-34,741-68,773-173,705-343,865-481,411-2,407,055-3,369,877-16,849,385

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