Q: What are the factor combinations of the number 243,402,145?

 A:
Positive:   1 x 2434021455 x 486804297 x 3477173535 x 695434743 x 5660515215 x 1132103301 x 8086451505 x 161729
Negative: -1 x -243402145-5 x -48680429-7 x -34771735-35 x -6954347-43 x -5660515-215 x -1132103-301 x -808645-1505 x -161729


How do I find the factor combinations of the number 243,402,145?

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 243,402,145, 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.

1 243,402,145
-1 -243,402,145

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 243,402,145.

Example:
1 x 243,402,145 = 243,402,145
and
-1 x -243,402,145 = 243,402,145
Notice both answers equal 243,402,145

With that explanation out of the way, let's continue. Next, we take the number 243,402,145 and divide it by 2:

243,402,145 ÷ 2 = 121,701,072.5

If the quotient is a whole number, then 2 and 121,701,072.5 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:

1 243,402,145
-1 -243,402,145

Now, we try dividing 243,402,145 by 3:

243,402,145 ÷ 3 = 81,134,048.3333

If the quotient is a whole number, then 3 and 81,134,048.3333 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:

1 243,402,145
-1 -243,402,145

Let's try dividing by 4:

243,402,145 ÷ 4 = 60,850,536.25

If the quotient is a whole number, then 4 and 60,850,536.25 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:

1 243,402,145
-1 243,402,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153011,505161,729808,6451,132,1035,660,5156,954,34734,771,73548,680,429243,402,145
-1-5-7-35-43-215-301-1,505-161,729-808,645-1,132,103-5,660,515-6,954,347-34,771,735-48,680,429-243,402,145

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