Q: What are the factor combinations of the number 18,600,673?

 A:
Positive:   1 x 186006737 x 265723913 x 143082147 x 39575991 x 204403329 x 56537611 x 304434277 x 4349
Negative: -1 x -18600673-7 x -2657239-13 x -1430821-47 x -395759-91 x -204403-329 x -56537-611 x -30443-4277 x -4349


How do I find the factor combinations of the number 18,600,673?

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 18,600,673, 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 18,600,673
-1 -18,600,673

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 18,600,673.

Example:
1 x 18,600,673 = 18,600,673
and
-1 x -18,600,673 = 18,600,673
Notice both answers equal 18,600,673

With that explanation out of the way, let's continue. Next, we take the number 18,600,673 and divide it by 2:

18,600,673 ÷ 2 = 9,300,336.5

If the quotient is a whole number, then 2 and 9,300,336.5 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 18,600,673
-1 -18,600,673

Now, we try dividing 18,600,673 by 3:

18,600,673 ÷ 3 = 6,200,224.3333

If the quotient is a whole number, then 3 and 6,200,224.3333 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 18,600,673
-1 -18,600,673

Let's try dividing by 4:

18,600,673 ÷ 4 = 4,650,168.25

If the quotient is a whole number, then 4 and 4,650,168.25 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 18,600,673
-1 18,600,673
Keep dividing by the next highest number until you cannot divide anymore.

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

171347913296114,2774,34930,44356,537204,403395,7591,430,8212,657,23918,600,673
-1-7-13-47-91-329-611-4,277-4,349-30,443-56,537-204,403-395,759-1,430,821-2,657,239-18,600,673

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