Q: What are the factor combinations of the number 163,560,553?

 A:
Positive:   1 x 16356055313 x 1258158117 x 9621209221 x 740093643 x 2543711151 x 1421038359 x 1956710931 x 14963
Negative: -1 x -163560553-13 x -12581581-17 x -9621209-221 x -740093-643 x -254371-1151 x -142103-8359 x -19567-10931 x -14963


How do I find the factor combinations of the number 163,560,553?

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 163,560,553, 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.

1 163,560,553
-1 -163,560,553

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 163,560,553.

Example:
1 x 163,560,553 = 163,560,553
and
-1 x -163,560,553 = 163,560,553
Notice both answers equal 163,560,553

With that explanation out of the way, let's continue. Next, we take the number 163,560,553 and divide it by 2:

163,560,553 ÷ 2 = 81,780,276.5

If the quotient is a whole number, then 2 and 81,780,276.5 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:

1 163,560,553
-1 -163,560,553

Now, we try dividing 163,560,553 by 3:

163,560,553 ÷ 3 = 54,520,184.3333

If the quotient is a whole number, then 3 and 54,520,184.3333 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:

1 163,560,553
-1 -163,560,553

Let's try dividing by 4:

163,560,553 ÷ 4 = 40,890,138.25

If the quotient is a whole number, then 4 and 40,890,138.25 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:

1 163,560,553
-1 163,560,553
Keep dividing by the next highest number until you cannot divide anymore.

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

113172216431,1518,35910,93114,96319,567142,103254,371740,0939,621,20912,581,581163,560,553
-1-13-17-221-643-1,151-8,359-10,931-14,963-19,567-142,103-254,371-740,093-9,621,209-12,581,581-163,560,553

More Examples

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