Q: What are the factor combinations of the number 58,361,323?

 A:
Positive:   1 x 5836132317 x 343301961 x 956743167 x 349469337 x 1731791037 x 562792839 x 205575729 x 10187
Negative: -1 x -58361323-17 x -3433019-61 x -956743-167 x -349469-337 x -173179-1037 x -56279-2839 x -20557-5729 x -10187


How do I find the factor combinations of the number 58,361,323?

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 58,361,323, 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 58,361,323
-1 -58,361,323

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 58,361,323.

Example:
1 x 58,361,323 = 58,361,323
and
-1 x -58,361,323 = 58,361,323
Notice both answers equal 58,361,323

With that explanation out of the way, let's continue. Next, we take the number 58,361,323 and divide it by 2:

58,361,323 ÷ 2 = 29,180,661.5

If the quotient is a whole number, then 2 and 29,180,661.5 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 58,361,323
-1 -58,361,323

Now, we try dividing 58,361,323 by 3:

58,361,323 ÷ 3 = 19,453,774.3333

If the quotient is a whole number, then 3 and 19,453,774.3333 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 58,361,323
-1 -58,361,323

Let's try dividing by 4:

58,361,323 ÷ 4 = 14,590,330.75

If the quotient is a whole number, then 4 and 14,590,330.75 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 58,361,323
-1 58,361,323
Keep dividing by the next highest number until you cannot divide anymore.

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

117611673371,0372,8395,72910,18720,55756,279173,179349,469956,7433,433,01958,361,323
-1-17-61-167-337-1,037-2,839-5,729-10,187-20,557-56,279-173,179-349,469-956,743-3,433,019-58,361,323

More Examples

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