Q: What are the factor combinations of the number 60,620,627?

 A:
Positive:   1 x 6062062783 x 730369743 x 81589983 x 61669
Negative: -1 x -60620627-83 x -730369-743 x -81589-983 x -61669


How do I find the factor combinations of the number 60,620,627?

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 60,620,627, 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 60,620,627
-1 -60,620,627

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 60,620,627.

Example:
1 x 60,620,627 = 60,620,627
and
-1 x -60,620,627 = 60,620,627
Notice both answers equal 60,620,627

With that explanation out of the way, let's continue. Next, we take the number 60,620,627 and divide it by 2:

60,620,627 ÷ 2 = 30,310,313.5

If the quotient is a whole number, then 2 and 30,310,313.5 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 60,620,627
-1 -60,620,627

Now, we try dividing 60,620,627 by 3:

60,620,627 ÷ 3 = 20,206,875.6667

If the quotient is a whole number, then 3 and 20,206,875.6667 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 60,620,627
-1 -60,620,627

Let's try dividing by 4:

60,620,627 ÷ 4 = 15,155,156.75

If the quotient is a whole number, then 4 and 15,155,156.75 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 60,620,627
-1 60,620,627
Keep dividing by the next highest number until you cannot divide anymore.

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

18374398361,66981,589730,36960,620,627
-1-83-743-983-61,669-81,589-730,369-60,620,627

More Examples

Here are some more numbers to try:

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