Q: What are the factor combinations of the number 58,167,013?

 A:
Positive:   1 x 5816701317 x 3421589131 x 4440232227 x 26119
Negative: -1 x -58167013-17 x -3421589-131 x -444023-2227 x -26119


How do I find the factor combinations of the number 58,167,013?

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 58,167,013, 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 58,167,013
-1 -58,167,013

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 58,167,013.

Example:
1 x 58,167,013 = 58,167,013
and
-1 x -58,167,013 = 58,167,013
Notice both answers equal 58,167,013

With that explanation out of the way, let's continue. Next, we take the number 58,167,013 and divide it by 2:

58,167,013 ÷ 2 = 29,083,506.5

If the quotient is a whole number, then 2 and 29,083,506.5 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 58,167,013
-1 -58,167,013

Now, we try dividing 58,167,013 by 3:

58,167,013 ÷ 3 = 19,389,004.3333

If the quotient is a whole number, then 3 and 19,389,004.3333 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 58,167,013
-1 -58,167,013

Let's try dividing by 4:

58,167,013 ÷ 4 = 14,541,753.25

If the quotient is a whole number, then 4 and 14,541,753.25 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 58,167,013
-1 58,167,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1171312,22726,119444,0233,421,58958,167,013
-1-17-131-2,227-26,119-444,023-3,421,589-58,167,013

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 58,167,013:


Ask a Question