Q: What are the factor combinations of the number 43,443,323?

 A:
Positive:   1 x 434433237 x 620618911 x 394939377 x 564199433 x 1003311303 x 333413031 x 143334763 x 9121
Negative: -1 x -43443323-7 x -6206189-11 x -3949393-77 x -564199-433 x -100331-1303 x -33341-3031 x -14333-4763 x -9121


How do I find the factor combinations of the number 43,443,323?

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 43,443,323, 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 43,443,323
-1 -43,443,323

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 43,443,323.

Example:
1 x 43,443,323 = 43,443,323
and
-1 x -43,443,323 = 43,443,323
Notice both answers equal 43,443,323

With that explanation out of the way, let's continue. Next, we take the number 43,443,323 and divide it by 2:

43,443,323 ÷ 2 = 21,721,661.5

If the quotient is a whole number, then 2 and 21,721,661.5 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 43,443,323
-1 -43,443,323

Now, we try dividing 43,443,323 by 3:

43,443,323 ÷ 3 = 14,481,107.6667

If the quotient is a whole number, then 3 and 14,481,107.6667 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 43,443,323
-1 -43,443,323

Let's try dividing by 4:

43,443,323 ÷ 4 = 10,860,830.75

If the quotient is a whole number, then 4 and 10,860,830.75 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 43,443,323
-1 43,443,323
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774331,3033,0314,7639,12114,33333,341100,331564,1993,949,3936,206,18943,443,323
-1-7-11-77-433-1,303-3,031-4,763-9,121-14,333-33,341-100,331-564,199-3,949,393-6,206,189-43,443,323

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 43,443,323:


Ask a Question