Q: What are the factor combinations of the number 23,358,137?

 A:
Positive:   1 x 2335813711 x 212346729 x 80545337 x 631301319 x 73223407 x 573911073 x 217691979 x 11803
Negative: -1 x -23358137-11 x -2123467-29 x -805453-37 x -631301-319 x -73223-407 x -57391-1073 x -21769-1979 x -11803


How do I find the factor combinations of the number 23,358,137?

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 23,358,137, 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 23,358,137
-1 -23,358,137

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 23,358,137.

Example:
1 x 23,358,137 = 23,358,137
and
-1 x -23,358,137 = 23,358,137
Notice both answers equal 23,358,137

With that explanation out of the way, let's continue. Next, we take the number 23,358,137 and divide it by 2:

23,358,137 ÷ 2 = 11,679,068.5

If the quotient is a whole number, then 2 and 11,679,068.5 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 23,358,137
-1 -23,358,137

Now, we try dividing 23,358,137 by 3:

23,358,137 ÷ 3 = 7,786,045.6667

If the quotient is a whole number, then 3 and 7,786,045.6667 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 23,358,137
-1 -23,358,137

Let's try dividing by 4:

23,358,137 ÷ 4 = 5,839,534.25

If the quotient is a whole number, then 4 and 5,839,534.25 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 23,358,137
-1 23,358,137
Keep dividing by the next highest number until you cannot divide anymore.

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

11129373194071,0731,97911,80321,76957,39173,223631,301805,4532,123,46723,358,137
-1-11-29-37-319-407-1,073-1,979-11,803-21,769-57,391-73,223-631,301-805,453-2,123,467-23,358,137

More Examples

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