Q: What are the factor combinations of the number 53,165,155?

 A:
Positive:   1 x 531651555 x 1063303131 x 171500571 x 748805155 x 343001355 x 1497612201 x 241554831 x 11005
Negative: -1 x -53165155-5 x -10633031-31 x -1715005-71 x -748805-155 x -343001-355 x -149761-2201 x -24155-4831 x -11005


How do I find the factor combinations of the number 53,165,155?

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 53,165,155, 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 53,165,155
-1 -53,165,155

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 53,165,155.

Example:
1 x 53,165,155 = 53,165,155
and
-1 x -53,165,155 = 53,165,155
Notice both answers equal 53,165,155

With that explanation out of the way, let's continue. Next, we take the number 53,165,155 and divide it by 2:

53,165,155 ÷ 2 = 26,582,577.5

If the quotient is a whole number, then 2 and 26,582,577.5 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 53,165,155
-1 -53,165,155

Now, we try dividing 53,165,155 by 3:

53,165,155 ÷ 3 = 17,721,718.3333

If the quotient is a whole number, then 3 and 17,721,718.3333 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 53,165,155
-1 -53,165,155

Let's try dividing by 4:

53,165,155 ÷ 4 = 13,291,288.75

If the quotient is a whole number, then 4 and 13,291,288.75 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 53,165,155
-1 53,165,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1531711553552,2014,83111,00524,155149,761343,001748,8051,715,00510,633,03153,165,155
-1-5-31-71-155-355-2,201-4,831-11,005-24,155-149,761-343,001-748,805-1,715,005-10,633,031-53,165,155

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