Q: What are the factor combinations of the number 60,162,455?

 A:
Positive:   1 x 601624555 x 1203249119 x 316644595 x 633289361 x 1666551805 x 33331
Negative: -1 x -60162455-5 x -12032491-19 x -3166445-95 x -633289-361 x -166655-1805 x -33331


How do I find the factor combinations of the number 60,162,455?

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 60,162,455, 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 60,162,455
-1 -60,162,455

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 60,162,455.

Example:
1 x 60,162,455 = 60,162,455
and
-1 x -60,162,455 = 60,162,455
Notice both answers equal 60,162,455

With that explanation out of the way, let's continue. Next, we take the number 60,162,455 and divide it by 2:

60,162,455 ÷ 2 = 30,081,227.5

If the quotient is a whole number, then 2 and 30,081,227.5 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 60,162,455
-1 -60,162,455

Now, we try dividing 60,162,455 by 3:

60,162,455 ÷ 3 = 20,054,151.6667

If the quotient is a whole number, then 3 and 20,054,151.6667 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 60,162,455
-1 -60,162,455

Let's try dividing by 4:

60,162,455 ÷ 4 = 15,040,613.75

If the quotient is a whole number, then 4 and 15,040,613.75 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 60,162,455
-1 60,162,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1519953611,80533,331166,655633,2893,166,44512,032,49160,162,455
-1-5-19-95-361-1,805-33,331-166,655-633,289-3,166,445-12,032,491-60,162,455

More Examples

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