Q: What are the factor combinations of the number 163,353,125?

 A:
Positive:   1 x 1633531255 x 3267062513 x 1256562525 x 653412565 x 2513125125 x 1306825325 x 502625625 x 2613651625 x 1005253125 x 522734021 x 406258125 x 20105
Negative: -1 x -163353125-5 x -32670625-13 x -12565625-25 x -6534125-65 x -2513125-125 x -1306825-325 x -502625-625 x -261365-1625 x -100525-3125 x -52273-4021 x -40625-8125 x -20105


How do I find the factor combinations of the number 163,353,125?

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 163,353,125, 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.

1 163,353,125
-1 -163,353,125

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 163,353,125.

Example:
1 x 163,353,125 = 163,353,125
and
-1 x -163,353,125 = 163,353,125
Notice both answers equal 163,353,125

With that explanation out of the way, let's continue. Next, we take the number 163,353,125 and divide it by 2:

163,353,125 ÷ 2 = 81,676,562.5

If the quotient is a whole number, then 2 and 81,676,562.5 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:

1 163,353,125
-1 -163,353,125

Now, we try dividing 163,353,125 by 3:

163,353,125 ÷ 3 = 54,451,041.6667

If the quotient is a whole number, then 3 and 54,451,041.6667 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:

1 163,353,125
-1 -163,353,125

Let's try dividing by 4:

163,353,125 ÷ 4 = 40,838,281.25

If the quotient is a whole number, then 4 and 40,838,281.25 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:

1 163,353,125
-1 163,353,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253256251,6253,1254,0218,12520,10540,62552,273100,525261,365502,6251,306,8252,513,1256,534,12512,565,62532,670,625163,353,125
-1-5-13-25-65-125-325-625-1,625-3,125-4,021-8,125-20,105-40,625-52,273-100,525-261,365-502,625-1,306,825-2,513,125-6,534,125-12,565,625-32,670,625-163,353,125

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