Q: What are the factor combinations of the number 60,564,425?

 A:
Positive:   1 x 605644255 x 1211288525 x 242257743 x 140847553 x 1142725215 x 281695265 x 2285451063 x 569751075 x 563391325 x 457092279 x 265755315 x 11395
Negative: -1 x -60564425-5 x -12112885-25 x -2422577-43 x -1408475-53 x -1142725-215 x -281695-265 x -228545-1063 x -56975-1075 x -56339-1325 x -45709-2279 x -26575-5315 x -11395


How do I find the factor combinations of the number 60,564,425?

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 60,564,425, 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 60,564,425
-1 -60,564,425

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 60,564,425.

Example:
1 x 60,564,425 = 60,564,425
and
-1 x -60,564,425 = 60,564,425
Notice both answers equal 60,564,425

With that explanation out of the way, let's continue. Next, we take the number 60,564,425 and divide it by 2:

60,564,425 ÷ 2 = 30,282,212.5

If the quotient is a whole number, then 2 and 30,282,212.5 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 60,564,425
-1 -60,564,425

Now, we try dividing 60,564,425 by 3:

60,564,425 ÷ 3 = 20,188,141.6667

If the quotient is a whole number, then 3 and 20,188,141.6667 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 60,564,425
-1 -60,564,425

Let's try dividing by 4:

60,564,425 ÷ 4 = 15,141,106.25

If the quotient is a whole number, then 4 and 15,141,106.25 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 60,564,425
-1 60,564,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152543532152651,0631,0751,3252,2795,31511,39526,57545,70956,33956,975228,545281,6951,142,7251,408,4752,422,57712,112,88560,564,425
-1-5-25-43-53-215-265-1,063-1,075-1,325-2,279-5,315-11,395-26,575-45,709-56,339-56,975-228,545-281,695-1,142,725-1,408,475-2,422,577-12,112,885-60,564,425

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