Q: What are the factor combinations of the number 43,421,399?

 A:
Positive:   1 x 434213997 x 620305749 x 88615171 x 611569343 x 126593497 x 873671783 x 243533479 x 12481
Negative: -1 x -43421399-7 x -6203057-49 x -886151-71 x -611569-343 x -126593-497 x -87367-1783 x -24353-3479 x -12481


How do I find the factor combinations of the number 43,421,399?

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 43,421,399, 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 43,421,399
-1 -43,421,399

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 43,421,399.

Example:
1 x 43,421,399 = 43,421,399
and
-1 x -43,421,399 = 43,421,399
Notice both answers equal 43,421,399

With that explanation out of the way, let's continue. Next, we take the number 43,421,399 and divide it by 2:

43,421,399 ÷ 2 = 21,710,699.5

If the quotient is a whole number, then 2 and 21,710,699.5 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 43,421,399
-1 -43,421,399

Now, we try dividing 43,421,399 by 3:

43,421,399 ÷ 3 = 14,473,799.6667

If the quotient is a whole number, then 3 and 14,473,799.6667 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 43,421,399
-1 -43,421,399

Let's try dividing by 4:

43,421,399 ÷ 4 = 10,855,349.75

If the quotient is a whole number, then 4 and 10,855,349.75 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 43,421,399
-1 43,421,399
Keep dividing by the next highest number until you cannot divide anymore.

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

1749713434971,7833,47912,48124,35387,367126,593611,569886,1516,203,05743,421,399
-1-7-49-71-343-497-1,783-3,479-12,481-24,353-87,367-126,593-611,569-886,151-6,203,057-43,421,399

More Examples

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