Q: What are the factor combinations of the number 246,060,125?

 A:
Positive:   1 x 2460601255 x 4921202517 x 1447412525 x 984240585 x 2894825125 x 1968481425 x 5789652125 x 115793
Negative: -1 x -246060125-5 x -49212025-17 x -14474125-25 x -9842405-85 x -2894825-125 x -1968481-425 x -578965-2125 x -115793


How do I find the factor combinations of the number 246,060,125?

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 246,060,125, 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.

1 246,060,125
-1 -246,060,125

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 246,060,125.

Example:
1 x 246,060,125 = 246,060,125
and
-1 x -246,060,125 = 246,060,125
Notice both answers equal 246,060,125

With that explanation out of the way, let's continue. Next, we take the number 246,060,125 and divide it by 2:

246,060,125 ÷ 2 = 123,030,062.5

If the quotient is a whole number, then 2 and 123,030,062.5 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:

1 246,060,125
-1 -246,060,125

Now, we try dividing 246,060,125 by 3:

246,060,125 ÷ 3 = 82,020,041.6667

If the quotient is a whole number, then 3 and 82,020,041.6667 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:

1 246,060,125
-1 -246,060,125

Let's try dividing by 4:

246,060,125 ÷ 4 = 61,515,031.25

If the quotient is a whole number, then 4 and 61,515,031.25 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:

1 246,060,125
-1 246,060,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,125115,793578,9651,968,4812,894,8259,842,40514,474,12549,212,025246,060,125
-1-5-17-25-85-125-425-2,125-115,793-578,965-1,968,481-2,894,825-9,842,405-14,474,125-49,212,025-246,060,125

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