Q: What are the factor combinations of the number 243,424,465?

 A:
Positive:   1 x 2434244655 x 4868489361 x 3990565107 x 2274995305 x 798113535 x 4549996527 x 372957459 x 32635
Negative: -1 x -243424465-5 x -48684893-61 x -3990565-107 x -2274995-305 x -798113-535 x -454999-6527 x -37295-7459 x -32635


How do I find the factor combinations of the number 243,424,465?

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 243,424,465, 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.

1 243,424,465
-1 -243,424,465

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 243,424,465.

Example:
1 x 243,424,465 = 243,424,465
and
-1 x -243,424,465 = 243,424,465
Notice both answers equal 243,424,465

With that explanation out of the way, let's continue. Next, we take the number 243,424,465 and divide it by 2:

243,424,465 ÷ 2 = 121,712,232.5

If the quotient is a whole number, then 2 and 121,712,232.5 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:

1 243,424,465
-1 -243,424,465

Now, we try dividing 243,424,465 by 3:

243,424,465 ÷ 3 = 81,141,488.3333

If the quotient is a whole number, then 3 and 81,141,488.3333 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:

1 243,424,465
-1 -243,424,465

Let's try dividing by 4:

243,424,465 ÷ 4 = 60,856,116.25

If the quotient is a whole number, then 4 and 60,856,116.25 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:

1 243,424,465
-1 243,424,465
Keep dividing by the next highest number until you cannot divide anymore.

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

15611073055356,5277,45932,63537,295454,999798,1132,274,9953,990,56548,684,893243,424,465
-1-5-61-107-305-535-6,527-7,459-32,635-37,295-454,999-798,113-2,274,995-3,990,565-48,684,893-243,424,465

More Examples

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