Q: What are the factor combinations of the number 60,216,085?

 A:
Positive:   1 x 602160855 x 1204321741 x 146868583 x 725495205 x 293737415 x 1450993403 x 176953539 x 17015
Negative: -1 x -60216085-5 x -12043217-41 x -1468685-83 x -725495-205 x -293737-415 x -145099-3403 x -17695-3539 x -17015


How do I find the factor combinations of the number 60,216,085?

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 60,216,085, 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 60,216,085
-1 -60,216,085

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 60,216,085.

Example:
1 x 60,216,085 = 60,216,085
and
-1 x -60,216,085 = 60,216,085
Notice both answers equal 60,216,085

With that explanation out of the way, let's continue. Next, we take the number 60,216,085 and divide it by 2:

60,216,085 ÷ 2 = 30,108,042.5

If the quotient is a whole number, then 2 and 30,108,042.5 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 60,216,085
-1 -60,216,085

Now, we try dividing 60,216,085 by 3:

60,216,085 ÷ 3 = 20,072,028.3333

If the quotient is a whole number, then 3 and 20,072,028.3333 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 60,216,085
-1 -60,216,085

Let's try dividing by 4:

60,216,085 ÷ 4 = 15,054,021.25

If the quotient is a whole number, then 4 and 15,054,021.25 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 60,216,085
-1 60,216,085
Keep dividing by the next highest number until you cannot divide anymore.

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

1541832054153,4033,53917,01517,695145,099293,737725,4951,468,68512,043,21760,216,085
-1-5-41-83-205-415-3,403-3,539-17,015-17,695-145,099-293,737-725,495-1,468,685-12,043,217-60,216,085

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