Q: What are the factor combinations of the number 163,461,115?

 A:
Positive:   1 x 1634611155 x 3269222323 x 7107005115 x 1421401
Negative: -1 x -163461115-5 x -32692223-23 x -7107005-115 x -1421401


How do I find the factor combinations of the number 163,461,115?

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 163,461,115, 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.

1 163,461,115
-1 -163,461,115

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 163,461,115.

Example:
1 x 163,461,115 = 163,461,115
and
-1 x -163,461,115 = 163,461,115
Notice both answers equal 163,461,115

With that explanation out of the way, let's continue. Next, we take the number 163,461,115 and divide it by 2:

163,461,115 ÷ 2 = 81,730,557.5

If the quotient is a whole number, then 2 and 81,730,557.5 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:

1 163,461,115
-1 -163,461,115

Now, we try dividing 163,461,115 by 3:

163,461,115 ÷ 3 = 54,487,038.3333

If the quotient is a whole number, then 3 and 54,487,038.3333 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:

1 163,461,115
-1 -163,461,115

Let's try dividing by 4:

163,461,115 ÷ 4 = 40,865,278.75

If the quotient is a whole number, then 4 and 40,865,278.75 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:

1 163,461,115
-1 163,461,115
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151,421,4017,107,00532,692,223163,461,115
-1-5-23-115-1,421,401-7,107,005-32,692,223-163,461,115

More Examples

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