Q: What are the factor combinations of the number 60,476,567?

 A:
Positive:   1 x 6047656731 x 1950857149 x 4058834619 x 13093
Negative: -1 x -60476567-31 x -1950857-149 x -405883-4619 x -13093


How do I find the factor combinations of the number 60,476,567?

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 60,476,567, 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 60,476,567
-1 -60,476,567

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 60,476,567.

Example:
1 x 60,476,567 = 60,476,567
and
-1 x -60,476,567 = 60,476,567
Notice both answers equal 60,476,567

With that explanation out of the way, let's continue. Next, we take the number 60,476,567 and divide it by 2:

60,476,567 ÷ 2 = 30,238,283.5

If the quotient is a whole number, then 2 and 30,238,283.5 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 60,476,567
-1 -60,476,567

Now, we try dividing 60,476,567 by 3:

60,476,567 ÷ 3 = 20,158,855.6667

If the quotient is a whole number, then 3 and 20,158,855.6667 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 60,476,567
-1 -60,476,567

Let's try dividing by 4:

60,476,567 ÷ 4 = 15,119,141.75

If the quotient is a whole number, then 4 and 15,119,141.75 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 60,476,567
-1 60,476,567
Keep dividing by the next highest number until you cannot divide anymore.

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

1311494,61913,093405,8831,950,85760,476,567
-1-31-149-4,619-13,093-405,883-1,950,857-60,476,567

More Examples

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