Q: What are the factor combinations of the number 243,425,755?

 A:
Positive:   1 x 2434257555 x 48685151199 x 1223245349 x 697495701 x 347255995 x 2446491745 x 1394993505 x 69451
Negative: -1 x -243425755-5 x -48685151-199 x -1223245-349 x -697495-701 x -347255-995 x -244649-1745 x -139499-3505 x -69451


How do I find the factor combinations of the number 243,425,755?

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 243,425,755, 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.

1 243,425,755
-1 -243,425,755

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 243,425,755.

Example:
1 x 243,425,755 = 243,425,755
and
-1 x -243,425,755 = 243,425,755
Notice both answers equal 243,425,755

With that explanation out of the way, let's continue. Next, we take the number 243,425,755 and divide it by 2:

243,425,755 ÷ 2 = 121,712,877.5

If the quotient is a whole number, then 2 and 121,712,877.5 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:

1 243,425,755
-1 -243,425,755

Now, we try dividing 243,425,755 by 3:

243,425,755 ÷ 3 = 81,141,918.3333

If the quotient is a whole number, then 3 and 81,141,918.3333 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:

1 243,425,755
-1 -243,425,755

Let's try dividing by 4:

243,425,755 ÷ 4 = 60,856,438.75

If the quotient is a whole number, then 4 and 60,856,438.75 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:

1 243,425,755
-1 243,425,755
Keep dividing by the next highest number until you cannot divide anymore.

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

151993497019951,7453,50569,451139,499244,649347,255697,4951,223,24548,685,151243,425,755
-1-5-199-349-701-995-1,745-3,505-69,451-139,499-244,649-347,255-697,495-1,223,245-48,685,151-243,425,755

More Examples

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