Q: What are the factor combinations of the number 612,741,325?

 A:
Positive:   1 x 6127413255 x 1225482657 x 8753447525 x 2450965335 x 1750689549 x 12504925175 x 3501379245 x 25009851225 x 500197
Negative: -1 x -612741325-5 x -122548265-7 x -87534475-25 x -24509653-35 x -17506895-49 x -12504925-175 x -3501379-245 x -2500985-1225 x -500197


How do I find the factor combinations of the number 612,741,325?

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 612,741,325, 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.

1 612,741,325
-1 -612,741,325

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 612,741,325.

Example:
1 x 612,741,325 = 612,741,325
and
-1 x -612,741,325 = 612,741,325
Notice both answers equal 612,741,325

With that explanation out of the way, let's continue. Next, we take the number 612,741,325 and divide it by 2:

612,741,325 ÷ 2 = 306,370,662.5

If the quotient is a whole number, then 2 and 306,370,662.5 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:

1 612,741,325
-1 -612,741,325

Now, we try dividing 612,741,325 by 3:

612,741,325 ÷ 3 = 204,247,108.3333

If the quotient is a whole number, then 3 and 204,247,108.3333 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:

1 612,741,325
-1 -612,741,325

Let's try dividing by 4:

612,741,325 ÷ 4 = 153,185,331.25

If the quotient is a whole number, then 4 and 153,185,331.25 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:

1 612,741,325
-1 612,741,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,225500,1972,500,9853,501,37912,504,92517,506,89524,509,65387,534,475122,548,265612,741,325
-1-5-7-25-35-49-175-245-1,225-500,197-2,500,985-3,501,379-12,504,925-17,506,895-24,509,653-87,534,475-122,548,265-612,741,325

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