Q: What are the factor combinations of the number 234,155,125?

 A:
Positive:   1 x 2341551255 x 4683102525 x 9366205125 x 18732411291 x 1813751451 x 1613756455 x 362757255 x 32275
Negative: -1 x -234155125-5 x -46831025-25 x -9366205-125 x -1873241-1291 x -181375-1451 x -161375-6455 x -36275-7255 x -32275


How do I find the factor combinations of the number 234,155,125?

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 234,155,125, 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.

1 234,155,125
-1 -234,155,125

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 234,155,125.

Example:
1 x 234,155,125 = 234,155,125
and
-1 x -234,155,125 = 234,155,125
Notice both answers equal 234,155,125

With that explanation out of the way, let's continue. Next, we take the number 234,155,125 and divide it by 2:

234,155,125 ÷ 2 = 117,077,562.5

If the quotient is a whole number, then 2 and 117,077,562.5 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:

1 234,155,125
-1 -234,155,125

Now, we try dividing 234,155,125 by 3:

234,155,125 ÷ 3 = 78,051,708.3333

If the quotient is a whole number, then 3 and 78,051,708.3333 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:

1 234,155,125
-1 -234,155,125

Let's try dividing by 4:

234,155,125 ÷ 4 = 58,538,781.25

If the quotient is a whole number, then 4 and 58,538,781.25 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:

1 234,155,125
-1 234,155,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251,2911,4516,4557,25532,27536,275161,375181,3751,873,2419,366,20546,831,025234,155,125
-1-5-25-125-1,291-1,451-6,455-7,255-32,275-36,275-161,375-181,375-1,873,241-9,366,205-46,831,025-234,155,125

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