Q: What are the factor combinations of the number 60,090,433?

 A:
Positive:   1 x 6009043313 x 462234197 x 6194891261 x 47653
Negative: -1 x -60090433-13 x -4622341-97 x -619489-1261 x -47653


How do I find the factor combinations of the number 60,090,433?

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 60,090,433, 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 60,090,433
-1 -60,090,433

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 60,090,433.

Example:
1 x 60,090,433 = 60,090,433
and
-1 x -60,090,433 = 60,090,433
Notice both answers equal 60,090,433

With that explanation out of the way, let's continue. Next, we take the number 60,090,433 and divide it by 2:

60,090,433 ÷ 2 = 30,045,216.5

If the quotient is a whole number, then 2 and 30,045,216.5 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 60,090,433
-1 -60,090,433

Now, we try dividing 60,090,433 by 3:

60,090,433 ÷ 3 = 20,030,144.3333

If the quotient is a whole number, then 3 and 20,030,144.3333 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 60,090,433
-1 -60,090,433

Let's try dividing by 4:

60,090,433 ÷ 4 = 15,022,608.25

If the quotient is a whole number, then 4 and 15,022,608.25 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 60,090,433
-1 60,090,433
Keep dividing by the next highest number until you cannot divide anymore.

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

113971,26147,653619,4894,622,34160,090,433
-1-13-97-1,261-47,653-619,489-4,622,341-60,090,433

More Examples

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