Q: What are the factor combinations of the number 60,523,625?

 A:
Positive:   1 x 605236255 x 1210472525 x 242094531 x 1952375125 x 484189155 x 390475775 x 780953875 x 15619
Negative: -1 x -60523625-5 x -12104725-25 x -2420945-31 x -1952375-125 x -484189-155 x -390475-775 x -78095-3875 x -15619


How do I find the factor combinations of the number 60,523,625?

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 60,523,625, 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 60,523,625
-1 -60,523,625

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 60,523,625.

Example:
1 x 60,523,625 = 60,523,625
and
-1 x -60,523,625 = 60,523,625
Notice both answers equal 60,523,625

With that explanation out of the way, let's continue. Next, we take the number 60,523,625 and divide it by 2:

60,523,625 ÷ 2 = 30,261,812.5

If the quotient is a whole number, then 2 and 30,261,812.5 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 60,523,625
-1 -60,523,625

Now, we try dividing 60,523,625 by 3:

60,523,625 ÷ 3 = 20,174,541.6667

If the quotient is a whole number, then 3 and 20,174,541.6667 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 60,523,625
-1 -60,523,625

Let's try dividing by 4:

60,523,625 ÷ 4 = 15,130,906.25

If the quotient is a whole number, then 4 and 15,130,906.25 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 60,523,625
-1 60,523,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311251557753,87515,61978,095390,475484,1891,952,3752,420,94512,104,72560,523,625
-1-5-25-31-125-155-775-3,875-15,619-78,095-390,475-484,189-1,952,375-2,420,945-12,104,725-60,523,625

More Examples

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