Q: What are the factor combinations of the number 163,312,721?

 A:
Positive:   1 x 16331272111 x 1484661113 x 12562517143 x 1142047659 x 2478191733 x 942377249 x 225298567 x 19063
Negative: -1 x -163312721-11 x -14846611-13 x -12562517-143 x -1142047-659 x -247819-1733 x -94237-7249 x -22529-8567 x -19063


How do I find the factor combinations of the number 163,312,721?

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 163,312,721, 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.

1 163,312,721
-1 -163,312,721

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 163,312,721.

Example:
1 x 163,312,721 = 163,312,721
and
-1 x -163,312,721 = 163,312,721
Notice both answers equal 163,312,721

With that explanation out of the way, let's continue. Next, we take the number 163,312,721 and divide it by 2:

163,312,721 ÷ 2 = 81,656,360.5

If the quotient is a whole number, then 2 and 81,656,360.5 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:

1 163,312,721
-1 -163,312,721

Now, we try dividing 163,312,721 by 3:

163,312,721 ÷ 3 = 54,437,573.6667

If the quotient is a whole number, then 3 and 54,437,573.6667 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:

1 163,312,721
-1 -163,312,721

Let's try dividing by 4:

163,312,721 ÷ 4 = 40,828,180.25

If the quotient is a whole number, then 4 and 40,828,180.25 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:

1 163,312,721
-1 163,312,721
Keep dividing by the next highest number until you cannot divide anymore.

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

111131436591,7337,2498,56719,06322,52994,237247,8191,142,04712,562,51714,846,611163,312,721
-1-11-13-143-659-1,733-7,249-8,567-19,063-22,529-94,237-247,819-1,142,047-12,562,517-14,846,611-163,312,721

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