Q: What are the factor combinations of the number 16,941,097?

 A:
Positive:   1 x 1694109731 x 54648743 x 39397971 x 238607179 x 946431333 x 127092201 x 76973053 x 5549
Negative: -1 x -16941097-31 x -546487-43 x -393979-71 x -238607-179 x -94643-1333 x -12709-2201 x -7697-3053 x -5549


How do I find the factor combinations of the number 16,941,097?

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 16,941,097, 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 16,941,097
-1 -16,941,097

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 16,941,097.

Example:
1 x 16,941,097 = 16,941,097
and
-1 x -16,941,097 = 16,941,097
Notice both answers equal 16,941,097

With that explanation out of the way, let's continue. Next, we take the number 16,941,097 and divide it by 2:

16,941,097 ÷ 2 = 8,470,548.5

If the quotient is a whole number, then 2 and 8,470,548.5 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 16,941,097
-1 -16,941,097

Now, we try dividing 16,941,097 by 3:

16,941,097 ÷ 3 = 5,647,032.3333

If the quotient is a whole number, then 3 and 5,647,032.3333 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 16,941,097
-1 -16,941,097

Let's try dividing by 4:

16,941,097 ÷ 4 = 4,235,274.25

If the quotient is a whole number, then 4 and 4,235,274.25 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 16,941,097
-1 16,941,097
Keep dividing by the next highest number until you cannot divide anymore.

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

13143711791,3332,2013,0535,5497,69712,70994,643238,607393,979546,48716,941,097
-1-31-43-71-179-1,333-2,201-3,053-5,549-7,697-12,709-94,643-238,607-393,979-546,487-16,941,097

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