Q: What are the factor combinations of the number 12,364,555?

 A:
Positive:   1 x 123645555 x 24729117 x 176636535 x 353273541 x 22855653 x 189352705 x 45713265 x 3787
Negative: -1 x -12364555-5 x -2472911-7 x -1766365-35 x -353273-541 x -22855-653 x -18935-2705 x -4571-3265 x -3787


How do I find the factor combinations of the number 12,364,555?

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 12,364,555, 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 12,364,555
-1 -12,364,555

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 12,364,555.

Example:
1 x 12,364,555 = 12,364,555
and
-1 x -12,364,555 = 12,364,555
Notice both answers equal 12,364,555

With that explanation out of the way, let's continue. Next, we take the number 12,364,555 and divide it by 2:

12,364,555 ÷ 2 = 6,182,277.5

If the quotient is a whole number, then 2 and 6,182,277.5 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 12,364,555
-1 -12,364,555

Now, we try dividing 12,364,555 by 3:

12,364,555 ÷ 3 = 4,121,518.3333

If the quotient is a whole number, then 3 and 4,121,518.3333 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 12,364,555
-1 -12,364,555

Let's try dividing by 4:

12,364,555 ÷ 4 = 3,091,138.75

If the quotient is a whole number, then 4 and 3,091,138.75 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 12,364,555
-1 12,364,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157355416532,7053,2653,7874,57118,93522,855353,2731,766,3652,472,91112,364,555
-1-5-7-35-541-653-2,705-3,265-3,787-4,571-18,935-22,855-353,273-1,766,365-2,472,911-12,364,555

More Examples

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