Q: What are the factor combinations of the number 243,314,225?

 A:
Positive:   1 x 2433142255 x 486628457 x 3475917511 x 2211947525 x 973256935 x 695183555 x 442389577 x 3159925175 x 1390367275 x 884779385 x 6319851925 x 126397
Negative: -1 x -243314225-5 x -48662845-7 x -34759175-11 x -22119475-25 x -9732569-35 x -6951835-55 x -4423895-77 x -3159925-175 x -1390367-275 x -884779-385 x -631985-1925 x -126397


How do I find the factor combinations of the number 243,314,225?

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 243,314,225, 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.

1 243,314,225
-1 -243,314,225

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 243,314,225.

Example:
1 x 243,314,225 = 243,314,225
and
-1 x -243,314,225 = 243,314,225
Notice both answers equal 243,314,225

With that explanation out of the way, let's continue. Next, we take the number 243,314,225 and divide it by 2:

243,314,225 ÷ 2 = 121,657,112.5

If the quotient is a whole number, then 2 and 121,657,112.5 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:

1 243,314,225
-1 -243,314,225

Now, we try dividing 243,314,225 by 3:

243,314,225 ÷ 3 = 81,104,741.6667

If the quotient is a whole number, then 3 and 81,104,741.6667 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:

1 243,314,225
-1 -243,314,225

Let's try dividing by 4:

243,314,225 ÷ 4 = 60,828,556.25

If the quotient is a whole number, then 4 and 60,828,556.25 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:

1 243,314,225
-1 243,314,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753851,925126,397631,985884,7791,390,3673,159,9254,423,8956,951,8359,732,56922,119,47534,759,17548,662,845243,314,225
-1-5-7-11-25-35-55-77-175-275-385-1,925-126,397-631,985-884,779-1,390,367-3,159,925-4,423,895-6,951,835-9,732,569-22,119,475-34,759,175-48,662,845-243,314,225

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