Q: What are the factor combinations of the number 60,506,561?

 A:
Positive:   1 x 6050656167 x 90308373 x 82885789 x 679849139 x 4352994891 x 123715963 x 101476497 x 9313
Negative: -1 x -60506561-67 x -903083-73 x -828857-89 x -679849-139 x -435299-4891 x -12371-5963 x -10147-6497 x -9313


How do I find the factor combinations of the number 60,506,561?

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 60,506,561, 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 60,506,561
-1 -60,506,561

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 60,506,561.

Example:
1 x 60,506,561 = 60,506,561
and
-1 x -60,506,561 = 60,506,561
Notice both answers equal 60,506,561

With that explanation out of the way, let's continue. Next, we take the number 60,506,561 and divide it by 2:

60,506,561 ÷ 2 = 30,253,280.5

If the quotient is a whole number, then 2 and 30,253,280.5 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 60,506,561
-1 -60,506,561

Now, we try dividing 60,506,561 by 3:

60,506,561 ÷ 3 = 20,168,853.6667

If the quotient is a whole number, then 3 and 20,168,853.6667 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 60,506,561
-1 -60,506,561

Let's try dividing by 4:

60,506,561 ÷ 4 = 15,126,640.25

If the quotient is a whole number, then 4 and 15,126,640.25 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 60,506,561
-1 60,506,561
Keep dividing by the next highest number until you cannot divide anymore.

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

16773891394,8915,9636,4979,31310,14712,371435,299679,849828,857903,08360,506,561
-1-67-73-89-139-4,891-5,963-6,497-9,313-10,147-12,371-435,299-679,849-828,857-903,083-60,506,561

More Examples

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