Q: What are the factor combinations of the number 10,433,423?

 A:
Positive:   1 x 104334237 x 149048911 x 94849313 x 80257149 x 21292777 x 13549991 x 114653143 x 72961539 x 19357637 x 163791001 x 104231489 x 7007
Negative: -1 x -10433423-7 x -1490489-11 x -948493-13 x -802571-49 x -212927-77 x -135499-91 x -114653-143 x -72961-539 x -19357-637 x -16379-1001 x -10423-1489 x -7007


How do I find the factor combinations of the number 10,433,423?

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 10,433,423, 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 10,433,423
-1 -10,433,423

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 10,433,423.

Example:
1 x 10,433,423 = 10,433,423
and
-1 x -10,433,423 = 10,433,423
Notice both answers equal 10,433,423

With that explanation out of the way, let's continue. Next, we take the number 10,433,423 and divide it by 2:

10,433,423 ÷ 2 = 5,216,711.5

If the quotient is a whole number, then 2 and 5,216,711.5 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 10,433,423
-1 -10,433,423

Now, we try dividing 10,433,423 by 3:

10,433,423 ÷ 3 = 3,477,807.6667

If the quotient is a whole number, then 3 and 3,477,807.6667 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 10,433,423
-1 -10,433,423

Let's try dividing by 4:

10,433,423 ÷ 4 = 2,608,355.75

If the quotient is a whole number, then 4 and 2,608,355.75 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 10,433,423
-1 10,433,423
Keep dividing by the next highest number until you cannot divide anymore.

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

1711134977911435396371,0011,4897,00710,42316,37919,35772,961114,653135,499212,927802,571948,4931,490,48910,433,423
-1-7-11-13-49-77-91-143-539-637-1,001-1,489-7,007-10,423-16,379-19,357-72,961-114,653-135,499-212,927-802,571-948,493-1,490,489-10,433,423

More Examples

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