Q: What are the factor combinations of the number 243,432,145?

 A:
Positive:   1 x 2434321455 x 4868642911 x 2213019555 x 4426039809 x 3009054045 x 601815471 x 444958899 x 27355
Negative: -1 x -243432145-5 x -48686429-11 x -22130195-55 x -4426039-809 x -300905-4045 x -60181-5471 x -44495-8899 x -27355


How do I find the factor combinations of the number 243,432,145?

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 243,432,145, 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.

1 243,432,145
-1 -243,432,145

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 243,432,145.

Example:
1 x 243,432,145 = 243,432,145
and
-1 x -243,432,145 = 243,432,145
Notice both answers equal 243,432,145

With that explanation out of the way, let's continue. Next, we take the number 243,432,145 and divide it by 2:

243,432,145 ÷ 2 = 121,716,072.5

If the quotient is a whole number, then 2 and 121,716,072.5 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:

1 243,432,145
-1 -243,432,145

Now, we try dividing 243,432,145 by 3:

243,432,145 ÷ 3 = 81,144,048.3333

If the quotient is a whole number, then 3 and 81,144,048.3333 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:

1 243,432,145
-1 -243,432,145

Let's try dividing by 4:

243,432,145 ÷ 4 = 60,858,036.25

If the quotient is a whole number, then 4 and 60,858,036.25 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:

1 243,432,145
-1 243,432,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1511558094,0455,4718,89927,35544,49560,181300,9054,426,03922,130,19548,686,429243,432,145
-1-5-11-55-809-4,045-5,471-8,899-27,355-44,495-60,181-300,905-4,426,039-22,130,195-48,686,429-243,432,145

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