Q: What are the factor combinations of the number 163,506,115?

 A:
Positive:   1 x 1635061155 x 3270122319 x 860558595 x 1721117163 x 1003105815 x 2006213097 x 5279510559 x 15485
Negative: -1 x -163506115-5 x -32701223-19 x -8605585-95 x -1721117-163 x -1003105-815 x -200621-3097 x -52795-10559 x -15485


How do I find the factor combinations of the number 163,506,115?

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 163,506,115, 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.

1 163,506,115
-1 -163,506,115

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 163,506,115.

Example:
1 x 163,506,115 = 163,506,115
and
-1 x -163,506,115 = 163,506,115
Notice both answers equal 163,506,115

With that explanation out of the way, let's continue. Next, we take the number 163,506,115 and divide it by 2:

163,506,115 ÷ 2 = 81,753,057.5

If the quotient is a whole number, then 2 and 81,753,057.5 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:

1 163,506,115
-1 -163,506,115

Now, we try dividing 163,506,115 by 3:

163,506,115 ÷ 3 = 54,502,038.3333

If the quotient is a whole number, then 3 and 54,502,038.3333 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:

1 163,506,115
-1 -163,506,115

Let's try dividing by 4:

163,506,115 ÷ 4 = 40,876,528.75

If the quotient is a whole number, then 4 and 40,876,528.75 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:

1 163,506,115
-1 163,506,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951638153,09710,55915,48552,795200,6211,003,1051,721,1178,605,58532,701,223163,506,115
-1-5-19-95-163-815-3,097-10,559-15,485-52,795-200,621-1,003,105-1,721,117-8,605,585-32,701,223-163,506,115

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