Q: What are the factor combinations of the number 10,424,255?

 A:
Positive:   1 x 104242555 x 208485119 x 54864595 x 109729197 x 52915557 x 18715985 x 105832785 x 3743
Negative: -1 x -10424255-5 x -2084851-19 x -548645-95 x -109729-197 x -52915-557 x -18715-985 x -10583-2785 x -3743


How do I find the factor combinations of the number 10,424,255?

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 10,424,255, 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 10,424,255
-1 -10,424,255

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 10,424,255.

Example:
1 x 10,424,255 = 10,424,255
and
-1 x -10,424,255 = 10,424,255
Notice both answers equal 10,424,255

With that explanation out of the way, let's continue. Next, we take the number 10,424,255 and divide it by 2:

10,424,255 ÷ 2 = 5,212,127.5

If the quotient is a whole number, then 2 and 5,212,127.5 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 10,424,255
-1 -10,424,255

Now, we try dividing 10,424,255 by 3:

10,424,255 ÷ 3 = 3,474,751.6667

If the quotient is a whole number, then 3 and 3,474,751.6667 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 10,424,255
-1 -10,424,255

Let's try dividing by 4:

10,424,255 ÷ 4 = 2,606,063.75

If the quotient is a whole number, then 4 and 2,606,063.75 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 10,424,255
-1 10,424,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951975579852,7853,74310,58318,71552,915109,729548,6452,084,85110,424,255
-1-5-19-95-197-557-985-2,785-3,743-10,583-18,715-52,915-109,729-548,645-2,084,851-10,424,255

More Examples

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