Q: What are the factor combinations of the number 243,440,155?

 A:
Positive:   1 x 2434401555 x 486880317 x 3477716535 x 6955433
Negative: -1 x -243440155-5 x -48688031-7 x -34777165-35 x -6955433


How do I find the factor combinations of the number 243,440,155?

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 243,440,155, 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.

1 243,440,155
-1 -243,440,155

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 243,440,155.

Example:
1 x 243,440,155 = 243,440,155
and
-1 x -243,440,155 = 243,440,155
Notice both answers equal 243,440,155

With that explanation out of the way, let's continue. Next, we take the number 243,440,155 and divide it by 2:

243,440,155 ÷ 2 = 121,720,077.5

If the quotient is a whole number, then 2 and 121,720,077.5 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:

1 243,440,155
-1 -243,440,155

Now, we try dividing 243,440,155 by 3:

243,440,155 ÷ 3 = 81,146,718.3333

If the quotient is a whole number, then 3 and 81,146,718.3333 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:

1 243,440,155
-1 -243,440,155

Let's try dividing by 4:

243,440,155 ÷ 4 = 60,860,038.75

If the quotient is a whole number, then 4 and 60,860,038.75 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:

1 243,440,155
-1 243,440,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157356,955,43334,777,16548,688,031243,440,155
-1-5-7-35-6,955,433-34,777,165-48,688,031-243,440,155

More Examples

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