Q: What are the factor combinations of the number 23,315,347?

 A:
Positive:   1 x 2331534711 x 211957717 x 137149141 x 568667187 x 124681451 x 51697697 x 334513041 x 7667
Negative: -1 x -23315347-11 x -2119577-17 x -1371491-41 x -568667-187 x -124681-451 x -51697-697 x -33451-3041 x -7667


How do I find the factor combinations of the number 23,315,347?

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 23,315,347, 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 23,315,347
-1 -23,315,347

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 23,315,347.

Example:
1 x 23,315,347 = 23,315,347
and
-1 x -23,315,347 = 23,315,347
Notice both answers equal 23,315,347

With that explanation out of the way, let's continue. Next, we take the number 23,315,347 and divide it by 2:

23,315,347 ÷ 2 = 11,657,673.5

If the quotient is a whole number, then 2 and 11,657,673.5 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 23,315,347
-1 -23,315,347

Now, we try dividing 23,315,347 by 3:

23,315,347 ÷ 3 = 7,771,782.3333

If the quotient is a whole number, then 3 and 7,771,782.3333 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 23,315,347
-1 -23,315,347

Let's try dividing by 4:

23,315,347 ÷ 4 = 5,828,836.75

If the quotient is a whole number, then 4 and 5,828,836.75 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 23,315,347
-1 23,315,347
Keep dividing by the next highest number until you cannot divide anymore.

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

11117411874516973,0417,66733,45151,697124,681568,6671,371,4912,119,57723,315,347
-1-11-17-41-187-451-697-3,041-7,667-33,451-51,697-124,681-568,667-1,371,491-2,119,577-23,315,347

More Examples

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