Q: What are the factor combinations of the number 60,413,335?

 A:
Positive:   1 x 604133355 x 12082667
Negative: -1 x -60413335-5 x -12082667


How do I find the factor combinations of the number 60,413,335?

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 60,413,335, 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 60,413,335
-1 -60,413,335

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 60,413,335.

Example:
1 x 60,413,335 = 60,413,335
and
-1 x -60,413,335 = 60,413,335
Notice both answers equal 60,413,335

With that explanation out of the way, let's continue. Next, we take the number 60,413,335 and divide it by 2:

60,413,335 ÷ 2 = 30,206,667.5

If the quotient is a whole number, then 2 and 30,206,667.5 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 60,413,335
-1 -60,413,335

Now, we try dividing 60,413,335 by 3:

60,413,335 ÷ 3 = 20,137,778.3333

If the quotient is a whole number, then 3 and 20,137,778.3333 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 60,413,335
-1 -60,413,335

Let's try dividing by 4:

60,413,335 ÷ 4 = 15,103,333.75

If the quotient is a whole number, then 4 and 15,103,333.75 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 60,413,335
-1 60,413,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1512,082,66760,413,335
-1-5-12,082,667-60,413,335

More Examples

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