Q: What are the factor combinations of the number 555,420,125?

 A:
Positive:   1 x 5554201255 x 11108402513 x 4272462525 x 2221680553 x 1047962565 x 8544925125 x 4443361265 x 2095925325 x 1708985689 x 8061251325 x 4191851625 x 3417973445 x 1612256449 x 861256625 x 8383717225 x 32245
Negative: -1 x -555420125-5 x -111084025-13 x -42724625-25 x -22216805-53 x -10479625-65 x -8544925-125 x -4443361-265 x -2095925-325 x -1708985-689 x -806125-1325 x -419185-1625 x -341797-3445 x -161225-6449 x -86125-6625 x -83837-17225 x -32245


How do I find the factor combinations of the number 555,420,125?

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 555,420,125, 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.

1 555,420,125
-1 -555,420,125

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 555,420,125.

Example:
1 x 555,420,125 = 555,420,125
and
-1 x -555,420,125 = 555,420,125
Notice both answers equal 555,420,125

With that explanation out of the way, let's continue. Next, we take the number 555,420,125 and divide it by 2:

555,420,125 ÷ 2 = 277,710,062.5

If the quotient is a whole number, then 2 and 277,710,062.5 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:

1 555,420,125
-1 -555,420,125

Now, we try dividing 555,420,125 by 3:

555,420,125 ÷ 3 = 185,140,041.6667

If the quotient is a whole number, then 3 and 185,140,041.6667 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:

1 555,420,125
-1 -555,420,125

Let's try dividing by 4:

555,420,125 ÷ 4 = 138,855,031.25

If the quotient is a whole number, then 4 and 138,855,031.25 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:

1 555,420,125
-1 555,420,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15132553651252653256891,3251,6253,4456,4496,62517,22532,24583,83786,125161,225341,797419,185806,1251,708,9852,095,9254,443,3618,544,92510,479,62522,216,80542,724,625111,084,025555,420,125
-1-5-13-25-53-65-125-265-325-689-1,325-1,625-3,445-6,449-6,625-17,225-32,245-83,837-86,125-161,225-341,797-419,185-806,125-1,708,985-2,095,925-4,443,361-8,544,925-10,479,625-22,216,805-42,724,625-111,084,025-555,420,125

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