Q: What are the factor combinations of the number 163,312,303?

 A:
Positive:   1 x 1633123037 x 2333032911 x 1484657377 x 21209391061 x 1539231999 x 816977427 x 2198911671 x 13993
Negative: -1 x -163312303-7 x -23330329-11 x -14846573-77 x -2120939-1061 x -153923-1999 x -81697-7427 x -21989-11671 x -13993


How do I find the factor combinations of the number 163,312,303?

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 163,312,303, 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.

1 163,312,303
-1 -163,312,303

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 163,312,303.

Example:
1 x 163,312,303 = 163,312,303
and
-1 x -163,312,303 = 163,312,303
Notice both answers equal 163,312,303

With that explanation out of the way, let's continue. Next, we take the number 163,312,303 and divide it by 2:

163,312,303 ÷ 2 = 81,656,151.5

If the quotient is a whole number, then 2 and 81,656,151.5 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:

1 163,312,303
-1 -163,312,303

Now, we try dividing 163,312,303 by 3:

163,312,303 ÷ 3 = 54,437,434.3333

If the quotient is a whole number, then 3 and 54,437,434.3333 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:

1 163,312,303
-1 -163,312,303

Let's try dividing by 4:

163,312,303 ÷ 4 = 40,828,075.75

If the quotient is a whole number, then 4 and 40,828,075.75 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:

1 163,312,303
-1 163,312,303
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,0611,9997,42711,67113,99321,98981,697153,9232,120,93914,846,57323,330,329163,312,303
-1-7-11-77-1,061-1,999-7,427-11,671-13,993-21,989-81,697-153,923-2,120,939-14,846,573-23,330,329-163,312,303

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