Q: What are the factor combinations of the number 18,173,155?

 A:
Positive:   1 x 181731555 x 36346317 x 259616511 x 165210513 x 139793535 x 51923355 x 33042165 x 27958777 x 23601591 x 199705143 x 127085385 x 47203455 x 39941715 x 254171001 x 181553631 x 5005
Negative: -1 x -18173155-5 x -3634631-7 x -2596165-11 x -1652105-13 x -1397935-35 x -519233-55 x -330421-65 x -279587-77 x -236015-91 x -199705-143 x -127085-385 x -47203-455 x -39941-715 x -25417-1001 x -18155-3631 x -5005


How do I find the factor combinations of the number 18,173,155?

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 18,173,155, 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 18,173,155
-1 -18,173,155

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 18,173,155.

Example:
1 x 18,173,155 = 18,173,155
and
-1 x -18,173,155 = 18,173,155
Notice both answers equal 18,173,155

With that explanation out of the way, let's continue. Next, we take the number 18,173,155 and divide it by 2:

18,173,155 ÷ 2 = 9,086,577.5

If the quotient is a whole number, then 2 and 9,086,577.5 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 18,173,155
-1 -18,173,155

Now, we try dividing 18,173,155 by 3:

18,173,155 ÷ 3 = 6,057,718.3333

If the quotient is a whole number, then 3 and 6,057,718.3333 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 18,173,155
-1 -18,173,155

Let's try dividing by 4:

18,173,155 ÷ 4 = 4,543,288.75

If the quotient is a whole number, then 4 and 4,543,288.75 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 18,173,155
-1 18,173,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157111335556577911433854557151,0013,6315,00518,15525,41739,94147,203127,085199,705236,015279,587330,421519,2331,397,9351,652,1052,596,1653,634,63118,173,155
-1-5-7-11-13-35-55-65-77-91-143-385-455-715-1,001-3,631-5,005-18,155-25,417-39,941-47,203-127,085-199,705-236,015-279,587-330,421-519,233-1,397,935-1,652,105-2,596,165-3,634,631-18,173,155

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