Q: What are the factor combinations of the number 60,051,091?

 A:
Positive:   1 x 6005109123 x 261091743 x 1396537989 x 60719
Negative: -1 x -60051091-23 x -2610917-43 x -1396537-989 x -60719


How do I find the factor combinations of the number 60,051,091?

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 60,051,091, 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 60,051,091
-1 -60,051,091

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 60,051,091.

Example:
1 x 60,051,091 = 60,051,091
and
-1 x -60,051,091 = 60,051,091
Notice both answers equal 60,051,091

With that explanation out of the way, let's continue. Next, we take the number 60,051,091 and divide it by 2:

60,051,091 ÷ 2 = 30,025,545.5

If the quotient is a whole number, then 2 and 30,025,545.5 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 60,051,091
-1 -60,051,091

Now, we try dividing 60,051,091 by 3:

60,051,091 ÷ 3 = 20,017,030.3333

If the quotient is a whole number, then 3 and 20,017,030.3333 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 60,051,091
-1 -60,051,091

Let's try dividing by 4:

60,051,091 ÷ 4 = 15,012,772.75

If the quotient is a whole number, then 4 and 15,012,772.75 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 60,051,091
-1 60,051,091
Keep dividing by the next highest number until you cannot divide anymore.

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

1234398960,7191,396,5372,610,91760,051,091
-1-23-43-989-60,719-1,396,537-2,610,917-60,051,091

More Examples

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