Q: What are the factor combinations of the number 555,115,015?

 A:
Positive:   1 x 5551150155 x 1110230037 x 7930214513 x 4270115535 x 1586042965 x 854023191 x 6100165223 x 2489305455 x 12200331115 x 4978611561 x 3556152899 x 1914855471 x 1014657805 x 7112314495 x 3829720293 x 27355
Negative: -1 x -555115015-5 x -111023003-7 x -79302145-13 x -42701155-35 x -15860429-65 x -8540231-91 x -6100165-223 x -2489305-455 x -1220033-1115 x -497861-1561 x -355615-2899 x -191485-5471 x -101465-7805 x -71123-14495 x -38297-20293 x -27355


How do I find the factor combinations of the number 555,115,015?

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 555,115,015, 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.

1 555,115,015
-1 -555,115,015

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 555,115,015.

Example:
1 x 555,115,015 = 555,115,015
and
-1 x -555,115,015 = 555,115,015
Notice both answers equal 555,115,015

With that explanation out of the way, let's continue. Next, we take the number 555,115,015 and divide it by 2:

555,115,015 ÷ 2 = 277,557,507.5

If the quotient is a whole number, then 2 and 277,557,507.5 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:

1 555,115,015
-1 -555,115,015

Now, we try dividing 555,115,015 by 3:

555,115,015 ÷ 3 = 185,038,338.3333

If the quotient is a whole number, then 3 and 185,038,338.3333 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:

1 555,115,015
-1 -555,115,015

Let's try dividing by 4:

555,115,015 ÷ 4 = 138,778,753.75

If the quotient is a whole number, then 4 and 138,778,753.75 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:

1 555,115,015
-1 555,115,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565912234551,1151,5612,8995,4717,80514,49520,29327,35538,29771,123101,465191,485355,615497,8611,220,0332,489,3056,100,1658,540,23115,860,42942,701,15579,302,145111,023,003555,115,015
-1-5-7-13-35-65-91-223-455-1,115-1,561-2,899-5,471-7,805-14,495-20,293-27,355-38,297-71,123-101,465-191,485-355,615-497,861-1,220,033-2,489,305-6,100,165-8,540,231-15,860,429-42,701,155-79,302,145-111,023,003-555,115,015

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