Q: What are the factor combinations of the number 43,441,013?

 A:
Positive:   1 x 434410137 x 620585911 x 394918331 x 140132377 x 564169217 x 200189341 x 1273932387 x 18199
Negative: -1 x -43441013-7 x -6205859-11 x -3949183-31 x -1401323-77 x -564169-217 x -200189-341 x -127393-2387 x -18199


How do I find the factor combinations of the number 43,441,013?

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 43,441,013, 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 43,441,013
-1 -43,441,013

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 43,441,013.

Example:
1 x 43,441,013 = 43,441,013
and
-1 x -43,441,013 = 43,441,013
Notice both answers equal 43,441,013

With that explanation out of the way, let's continue. Next, we take the number 43,441,013 and divide it by 2:

43,441,013 ÷ 2 = 21,720,506.5

If the quotient is a whole number, then 2 and 21,720,506.5 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 43,441,013
-1 -43,441,013

Now, we try dividing 43,441,013 by 3:

43,441,013 ÷ 3 = 14,480,337.6667

If the quotient is a whole number, then 3 and 14,480,337.6667 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 43,441,013
-1 -43,441,013

Let's try dividing by 4:

43,441,013 ÷ 4 = 10,860,253.25

If the quotient is a whole number, then 4 and 10,860,253.25 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 43,441,013
-1 43,441,013
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,38718,199127,393200,189564,1691,401,3233,949,1836,205,85943,441,013
-1-7-11-31-77-217-341-2,387-18,199-127,393-200,189-564,169-1,401,323-3,949,183-6,205,859-43,441,013

More Examples

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