Q: What are the factor combinations of the number 23,410,037?

 A:
Positive:   1 x 234100377 x 334429117 x 1377061119 x 196723127 x 184331889 x 263331549 x 151132159 x 10843
Negative: -1 x -23410037-7 x -3344291-17 x -1377061-119 x -196723-127 x -184331-889 x -26333-1549 x -15113-2159 x -10843


How do I find the factor combinations of the number 23,410,037?

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 23,410,037, 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 23,410,037
-1 -23,410,037

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 23,410,037.

Example:
1 x 23,410,037 = 23,410,037
and
-1 x -23,410,037 = 23,410,037
Notice both answers equal 23,410,037

With that explanation out of the way, let's continue. Next, we take the number 23,410,037 and divide it by 2:

23,410,037 ÷ 2 = 11,705,018.5

If the quotient is a whole number, then 2 and 11,705,018.5 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 23,410,037
-1 -23,410,037

Now, we try dividing 23,410,037 by 3:

23,410,037 ÷ 3 = 7,803,345.6667

If the quotient is a whole number, then 3 and 7,803,345.6667 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 23,410,037
-1 -23,410,037

Let's try dividing by 4:

23,410,037 ÷ 4 = 5,852,509.25

If the quotient is a whole number, then 4 and 5,852,509.25 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 23,410,037
-1 23,410,037
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191278891,5492,15910,84315,11326,333184,331196,7231,377,0613,344,29123,410,037
-1-7-17-119-127-889-1,549-2,159-10,843-15,113-26,333-184,331-196,723-1,377,061-3,344,291-23,410,037

More Examples

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