Q: What are the factor combinations of the number 245,642,425?

 A:
Positive:   1 x 2456424255 x 491284857 x 3509177525 x 982569735 x 701835561 x 4026925175 x 1403671305 x 805385427 x 5752751525 x 1610772135 x 11505510675 x 23011
Negative: -1 x -245642425-5 x -49128485-7 x -35091775-25 x -9825697-35 x -7018355-61 x -4026925-175 x -1403671-305 x -805385-427 x -575275-1525 x -161077-2135 x -115055-10675 x -23011


How do I find the factor combinations of the number 245,642,425?

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 245,642,425, 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.

1 245,642,425
-1 -245,642,425

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 245,642,425.

Example:
1 x 245,642,425 = 245,642,425
and
-1 x -245,642,425 = 245,642,425
Notice both answers equal 245,642,425

With that explanation out of the way, let's continue. Next, we take the number 245,642,425 and divide it by 2:

245,642,425 ÷ 2 = 122,821,212.5

If the quotient is a whole number, then 2 and 122,821,212.5 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:

1 245,642,425
-1 -245,642,425

Now, we try dividing 245,642,425 by 3:

245,642,425 ÷ 3 = 81,880,808.3333

If the quotient is a whole number, then 3 and 81,880,808.3333 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:

1 245,642,425
-1 -245,642,425

Let's try dividing by 4:

245,642,425 ÷ 4 = 61,410,606.25

If the quotient is a whole number, then 4 and 61,410,606.25 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:

1 245,642,425
-1 245,642,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535611753054271,5252,13510,67523,011115,055161,077575,275805,3851,403,6714,026,9257,018,3559,825,69735,091,77549,128,485245,642,425
-1-5-7-25-35-61-175-305-427-1,525-2,135-10,675-23,011-115,055-161,077-575,275-805,385-1,403,671-4,026,925-7,018,355-9,825,697-35,091,775-49,128,485-245,642,425

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