Q: What are the factor combinations of the number 60,010,577?

 A:
Positive:   1 x 6001057711 x 545550783 x 723019913 x 65729
Negative: -1 x -60010577-11 x -5455507-83 x -723019-913 x -65729


How do I find the factor combinations of the number 60,010,577?

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 60,010,577, 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 60,010,577
-1 -60,010,577

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 60,010,577.

Example:
1 x 60,010,577 = 60,010,577
and
-1 x -60,010,577 = 60,010,577
Notice both answers equal 60,010,577

With that explanation out of the way, let's continue. Next, we take the number 60,010,577 and divide it by 2:

60,010,577 ÷ 2 = 30,005,288.5

If the quotient is a whole number, then 2 and 30,005,288.5 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 60,010,577
-1 -60,010,577

Now, we try dividing 60,010,577 by 3:

60,010,577 ÷ 3 = 20,003,525.6667

If the quotient is a whole number, then 3 and 20,003,525.6667 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 60,010,577
-1 -60,010,577

Let's try dividing by 4:

60,010,577 ÷ 4 = 15,002,644.25

If the quotient is a whole number, then 4 and 15,002,644.25 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 60,010,577
-1 60,010,577
Keep dividing by the next highest number until you cannot divide anymore.

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

1118391365,729723,0195,455,50760,010,577
-1-11-83-913-65,729-723,019-5,455,507-60,010,577

More Examples

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