Q: What are the factor combinations of the number 60,066,425?

 A:
Positive:   1 x 600664255 x 1201328525 x 240265759 x 1018075193 x 311225211 x 284675295 x 203615965 x 622451055 x 569351475 x 407234825 x 124495275 x 11387
Negative: -1 x -60066425-5 x -12013285-25 x -2402657-59 x -1018075-193 x -311225-211 x -284675-295 x -203615-965 x -62245-1055 x -56935-1475 x -40723-4825 x -12449-5275 x -11387


How do I find the factor combinations of the number 60,066,425?

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 60,066,425, 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 60,066,425
-1 -60,066,425

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 60,066,425.

Example:
1 x 60,066,425 = 60,066,425
and
-1 x -60,066,425 = 60,066,425
Notice both answers equal 60,066,425

With that explanation out of the way, let's continue. Next, we take the number 60,066,425 and divide it by 2:

60,066,425 ÷ 2 = 30,033,212.5

If the quotient is a whole number, then 2 and 30,033,212.5 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 60,066,425
-1 -60,066,425

Now, we try dividing 60,066,425 by 3:

60,066,425 ÷ 3 = 20,022,141.6667

If the quotient is a whole number, then 3 and 20,022,141.6667 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 60,066,425
-1 -60,066,425

Let's try dividing by 4:

60,066,425 ÷ 4 = 15,016,606.25

If the quotient is a whole number, then 4 and 15,016,606.25 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 60,066,425
-1 60,066,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525591932112959651,0551,4754,8255,27511,38712,44940,72356,93562,245203,615284,675311,2251,018,0752,402,65712,013,28560,066,425
-1-5-25-59-193-211-295-965-1,055-1,475-4,825-5,275-11,387-12,449-40,723-56,935-62,245-203,615-284,675-311,225-1,018,075-2,402,657-12,013,285-60,066,425

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