Q: What are the factor combinations of the number 60,307,325?

 A:
Positive:   1 x 603073255 x 1206146513 x 463902525 x 241229365 x 92780597 x 621725325 x 185561485 x 1243451261 x 478251913 x 315252425 x 248696305 x 9565
Negative: -1 x -60307325-5 x -12061465-13 x -4639025-25 x -2412293-65 x -927805-97 x -621725-325 x -185561-485 x -124345-1261 x -47825-1913 x -31525-2425 x -24869-6305 x -9565


How do I find the factor combinations of the number 60,307,325?

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 60,307,325, 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 60,307,325
-1 -60,307,325

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 60,307,325.

Example:
1 x 60,307,325 = 60,307,325
and
-1 x -60,307,325 = 60,307,325
Notice both answers equal 60,307,325

With that explanation out of the way, let's continue. Next, we take the number 60,307,325 and divide it by 2:

60,307,325 ÷ 2 = 30,153,662.5

If the quotient is a whole number, then 2 and 30,153,662.5 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 60,307,325
-1 -60,307,325

Now, we try dividing 60,307,325 by 3:

60,307,325 ÷ 3 = 20,102,441.6667

If the quotient is a whole number, then 3 and 20,102,441.6667 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 60,307,325
-1 -60,307,325

Let's try dividing by 4:

60,307,325 ÷ 4 = 15,076,831.25

If the quotient is a whole number, then 4 and 15,076,831.25 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 60,307,325
-1 60,307,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565973254851,2611,9132,4256,3059,56524,86931,52547,825124,345185,561621,725927,8052,412,2934,639,02512,061,46560,307,325
-1-5-13-25-65-97-325-485-1,261-1,913-2,425-6,305-9,565-24,869-31,525-47,825-124,345-185,561-621,725-927,805-2,412,293-4,639,025-12,061,465-60,307,325

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