Q: What are the factor combinations of the number 17,443,877?

 A:
Positive:   1 x 1744387711 x 158580729 x 601513149 x 117073319 x 54683367 x 475311639 x 106434037 x 4321
Negative: -1 x -17443877-11 x -1585807-29 x -601513-149 x -117073-319 x -54683-367 x -47531-1639 x -10643-4037 x -4321


How do I find the factor combinations of the number 17,443,877?

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 17,443,877, 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 17,443,877
-1 -17,443,877

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 17,443,877.

Example:
1 x 17,443,877 = 17,443,877
and
-1 x -17,443,877 = 17,443,877
Notice both answers equal 17,443,877

With that explanation out of the way, let's continue. Next, we take the number 17,443,877 and divide it by 2:

17,443,877 ÷ 2 = 8,721,938.5

If the quotient is a whole number, then 2 and 8,721,938.5 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 17,443,877
-1 -17,443,877

Now, we try dividing 17,443,877 by 3:

17,443,877 ÷ 3 = 5,814,625.6667

If the quotient is a whole number, then 3 and 5,814,625.6667 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 17,443,877
-1 -17,443,877

Let's try dividing by 4:

17,443,877 ÷ 4 = 4,360,969.25

If the quotient is a whole number, then 4 and 4,360,969.25 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 17,443,877
-1 17,443,877
Keep dividing by the next highest number until you cannot divide anymore.

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

111291493193671,6394,0374,32110,64347,53154,683117,073601,5131,585,80717,443,877
-1-11-29-149-319-367-1,639-4,037-4,321-10,643-47,531-54,683-117,073-601,513-1,585,807-17,443,877

More Examples

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