Q: What are the factor combinations of the number 240,252,325?

 A:
Positive:   1 x 2402523255 x 4805046525 x 961009331 x 7750075151 x 1591075155 x 1550015755 x 318215775 x 3100032053 x 1170253775 x 636434681 x 5132510265 x 23405
Negative: -1 x -240252325-5 x -48050465-25 x -9610093-31 x -7750075-151 x -1591075-155 x -1550015-755 x -318215-775 x -310003-2053 x -117025-3775 x -63643-4681 x -51325-10265 x -23405


How do I find the factor combinations of the number 240,252,325?

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 240,252,325, 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.

1 240,252,325
-1 -240,252,325

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 240,252,325.

Example:
1 x 240,252,325 = 240,252,325
and
-1 x -240,252,325 = 240,252,325
Notice both answers equal 240,252,325

With that explanation out of the way, let's continue. Next, we take the number 240,252,325 and divide it by 2:

240,252,325 ÷ 2 = 120,126,162.5

If the quotient is a whole number, then 2 and 120,126,162.5 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:

1 240,252,325
-1 -240,252,325

Now, we try dividing 240,252,325 by 3:

240,252,325 ÷ 3 = 80,084,108.3333

If the quotient is a whole number, then 3 and 80,084,108.3333 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:

1 240,252,325
-1 -240,252,325

Let's try dividing by 4:

240,252,325 ÷ 4 = 60,063,081.25

If the quotient is a whole number, then 4 and 60,063,081.25 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:

1 240,252,325
-1 240,252,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311511557557752,0533,7754,68110,26523,40551,32563,643117,025310,003318,2151,550,0151,591,0757,750,0759,610,09348,050,465240,252,325
-1-5-25-31-151-155-755-775-2,053-3,775-4,681-10,265-23,405-51,325-63,643-117,025-310,003-318,215-1,550,015-1,591,075-7,750,075-9,610,093-48,050,465-240,252,325

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