Q: What are the factor combinations of the number 505,442,455?

 A:
Positive:   1 x 5054424555 x 1010884917 x 7220606535 x 14441213401 x 12604552005 x 2520912807 x 18006514035 x 36013
Negative: -1 x -505442455-5 x -101088491-7 x -72206065-35 x -14441213-401 x -1260455-2005 x -252091-2807 x -180065-14035 x -36013


How do I find the factor combinations of the number 505,442,455?

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 505,442,455, 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.

1 505,442,455
-1 -505,442,455

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 505,442,455.

Example:
1 x 505,442,455 = 505,442,455
and
-1 x -505,442,455 = 505,442,455
Notice both answers equal 505,442,455

With that explanation out of the way, let's continue. Next, we take the number 505,442,455 and divide it by 2:

505,442,455 ÷ 2 = 252,721,227.5

If the quotient is a whole number, then 2 and 252,721,227.5 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:

1 505,442,455
-1 -505,442,455

Now, we try dividing 505,442,455 by 3:

505,442,455 ÷ 3 = 168,480,818.3333

If the quotient is a whole number, then 3 and 168,480,818.3333 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:

1 505,442,455
-1 -505,442,455

Let's try dividing by 4:

505,442,455 ÷ 4 = 126,360,613.75

If the quotient is a whole number, then 4 and 126,360,613.75 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:

1 505,442,455
-1 505,442,455
Keep dividing by the next highest number until you cannot divide anymore.

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

157354012,0052,80714,03536,013180,065252,0911,260,45514,441,21372,206,065101,088,491505,442,455
-1-5-7-35-401-2,005-2,807-14,035-36,013-180,065-252,091-1,260,455-14,441,213-72,206,065-101,088,491-505,442,455

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