Q: What are the factor combinations of the number 23,328,371?

 A:
Positive:   1 x 2332837111 x 212076119 x 122780923 x 1014277209 x 111619211 x 110561253 x 92207437 x 53383529 x 440992321 x 100514009 x 58194807 x 4853
Negative: -1 x -23328371-11 x -2120761-19 x -1227809-23 x -1014277-209 x -111619-211 x -110561-253 x -92207-437 x -53383-529 x -44099-2321 x -10051-4009 x -5819-4807 x -4853


How do I find the factor combinations of the number 23,328,371?

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 23,328,371, 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 23,328,371
-1 -23,328,371

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 23,328,371.

Example:
1 x 23,328,371 = 23,328,371
and
-1 x -23,328,371 = 23,328,371
Notice both answers equal 23,328,371

With that explanation out of the way, let's continue. Next, we take the number 23,328,371 and divide it by 2:

23,328,371 ÷ 2 = 11,664,185.5

If the quotient is a whole number, then 2 and 11,664,185.5 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 23,328,371
-1 -23,328,371

Now, we try dividing 23,328,371 by 3:

23,328,371 ÷ 3 = 7,776,123.6667

If the quotient is a whole number, then 3 and 7,776,123.6667 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 23,328,371
-1 -23,328,371

Let's try dividing by 4:

23,328,371 ÷ 4 = 5,832,092.75

If the quotient is a whole number, then 4 and 5,832,092.75 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 23,328,371
-1 23,328,371
Keep dividing by the next highest number until you cannot divide anymore.

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

11119232092112534375292,3214,0094,8074,8535,81910,05144,09953,38392,207110,561111,6191,014,2771,227,8092,120,76123,328,371
-1-11-19-23-209-211-253-437-529-2,321-4,009-4,807-4,853-5,819-10,051-44,099-53,383-92,207-110,561-111,619-1,014,277-1,227,809-2,120,761-23,328,371

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