Q: What are the factor combinations of the number 18,731,545?

 A:
Positive:   1 x 187315455 x 37463097 x 267593523 x 81441535 x 535187115 x 162883161 x 116345805 x 23269
Negative: -1 x -18731545-5 x -3746309-7 x -2675935-23 x -814415-35 x -535187-115 x -162883-161 x -116345-805 x -23269


How do I find the factor combinations of the number 18,731,545?

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 18,731,545, 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 18,731,545
-1 -18,731,545

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 18,731,545.

Example:
1 x 18,731,545 = 18,731,545
and
-1 x -18,731,545 = 18,731,545
Notice both answers equal 18,731,545

With that explanation out of the way, let's continue. Next, we take the number 18,731,545 and divide it by 2:

18,731,545 ÷ 2 = 9,365,772.5

If the quotient is a whole number, then 2 and 9,365,772.5 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 18,731,545
-1 -18,731,545

Now, we try dividing 18,731,545 by 3:

18,731,545 ÷ 3 = 6,243,848.3333

If the quotient is a whole number, then 3 and 6,243,848.3333 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 18,731,545
-1 -18,731,545

Let's try dividing by 4:

18,731,545 ÷ 4 = 4,682,886.25

If the quotient is a whole number, then 4 and 4,682,886.25 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 18,731,545
-1 18,731,545
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180523,269116,345162,883535,187814,4152,675,9353,746,30918,731,545
-1-5-7-23-35-115-161-805-23,269-116,345-162,883-535,187-814,415-2,675,935-3,746,309-18,731,545

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