Q: What are the factor combinations of the number 24,132,475?

 A:
Positive:   1 x 241324755 x 482649525 x 96529959 x 409025295 x 818051475 x 16361
Negative: -1 x -24132475-5 x -4826495-25 x -965299-59 x -409025-295 x -81805-1475 x -16361


How do I find the factor combinations of the number 24,132,475?

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 24,132,475, 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 24,132,475
-1 -24,132,475

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 24,132,475.

Example:
1 x 24,132,475 = 24,132,475
and
-1 x -24,132,475 = 24,132,475
Notice both answers equal 24,132,475

With that explanation out of the way, let's continue. Next, we take the number 24,132,475 and divide it by 2:

24,132,475 ÷ 2 = 12,066,237.5

If the quotient is a whole number, then 2 and 12,066,237.5 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 24,132,475
-1 -24,132,475

Now, we try dividing 24,132,475 by 3:

24,132,475 ÷ 3 = 8,044,158.3333

If the quotient is a whole number, then 3 and 8,044,158.3333 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 24,132,475
-1 -24,132,475

Let's try dividing by 4:

24,132,475 ÷ 4 = 6,033,118.75

If the quotient is a whole number, then 4 and 6,033,118.75 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 24,132,475
-1 24,132,475
Keep dividing by the next highest number until you cannot divide anymore.

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

1525592951,47516,36181,805409,025965,2994,826,49524,132,475
-1-5-25-59-295-1,475-16,361-81,805-409,025-965,299-4,826,495-24,132,475

More Examples

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