Q: What are the factor combinations of the number 234,550,225?

 A:
Positive:   1 x 2345502255 x 469100457 x 3350717513 x 1804232525 x 938200935 x 670143565 x 360846591 x 2577475175 x 1340287325 x 721693455 x 5154952275 x 103099
Negative: -1 x -234550225-5 x -46910045-7 x -33507175-13 x -18042325-25 x -9382009-35 x -6701435-65 x -3608465-91 x -2577475-175 x -1340287-325 x -721693-455 x -515495-2275 x -103099


How do I find the factor combinations of the number 234,550,225?

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 234,550,225, 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.

1 234,550,225
-1 -234,550,225

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 234,550,225.

Example:
1 x 234,550,225 = 234,550,225
and
-1 x -234,550,225 = 234,550,225
Notice both answers equal 234,550,225

With that explanation out of the way, let's continue. Next, we take the number 234,550,225 and divide it by 2:

234,550,225 ÷ 2 = 117,275,112.5

If the quotient is a whole number, then 2 and 117,275,112.5 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:

1 234,550,225
-1 -234,550,225

Now, we try dividing 234,550,225 by 3:

234,550,225 ÷ 3 = 78,183,408.3333

If the quotient is a whole number, then 3 and 78,183,408.3333 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:

1 234,550,225
-1 -234,550,225

Let's try dividing by 4:

234,550,225 ÷ 4 = 58,637,556.25

If the quotient is a whole number, then 4 and 58,637,556.25 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:

1 234,550,225
-1 234,550,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,275103,099515,495721,6931,340,2872,577,4753,608,4656,701,4359,382,00918,042,32533,507,17546,910,045234,550,225
-1-5-7-13-25-35-65-91-175-325-455-2,275-103,099-515,495-721,693-1,340,287-2,577,475-3,608,465-6,701,435-9,382,009-18,042,325-33,507,175-46,910,045-234,550,225

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