Q: What are the factor combinations of the number 163,365,443?

 A:
Positive:   1 x 16336544331 x 526985341 x 398452379 x 20679171271 x 1285331627 x 1004092449 x 667073239 x 50437
Negative: -1 x -163365443-31 x -5269853-41 x -3984523-79 x -2067917-1271 x -128533-1627 x -100409-2449 x -66707-3239 x -50437


How do I find the factor combinations of the number 163,365,443?

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 163,365,443, 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.

1 163,365,443
-1 -163,365,443

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 163,365,443.

Example:
1 x 163,365,443 = 163,365,443
and
-1 x -163,365,443 = 163,365,443
Notice both answers equal 163,365,443

With that explanation out of the way, let's continue. Next, we take the number 163,365,443 and divide it by 2:

163,365,443 ÷ 2 = 81,682,721.5

If the quotient is a whole number, then 2 and 81,682,721.5 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:

1 163,365,443
-1 -163,365,443

Now, we try dividing 163,365,443 by 3:

163,365,443 ÷ 3 = 54,455,147.6667

If the quotient is a whole number, then 3 and 54,455,147.6667 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:

1 163,365,443
-1 -163,365,443

Let's try dividing by 4:

163,365,443 ÷ 4 = 40,841,360.75

If the quotient is a whole number, then 4 and 40,841,360.75 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:

1 163,365,443
-1 163,365,443
Keep dividing by the next highest number until you cannot divide anymore.

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

13141791,2711,6272,4493,23950,43766,707100,409128,5332,067,9173,984,5235,269,853163,365,443
-1-31-41-79-1,271-1,627-2,449-3,239-50,437-66,707-100,409-128,533-2,067,917-3,984,523-5,269,853-163,365,443

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