Q: What are the factor combinations of the number 16,973,671?

 A:
Positive:   1 x 1697367111 x 154306113 x 130566729 x 585299143 x 118697319 x 53209377 x 450234093 x 4147
Negative: -1 x -16973671-11 x -1543061-13 x -1305667-29 x -585299-143 x -118697-319 x -53209-377 x -45023-4093 x -4147


How do I find the factor combinations of the number 16,973,671?

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 16,973,671, 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 16,973,671
-1 -16,973,671

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 16,973,671.

Example:
1 x 16,973,671 = 16,973,671
and
-1 x -16,973,671 = 16,973,671
Notice both answers equal 16,973,671

With that explanation out of the way, let's continue. Next, we take the number 16,973,671 and divide it by 2:

16,973,671 ÷ 2 = 8,486,835.5

If the quotient is a whole number, then 2 and 8,486,835.5 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 16,973,671
-1 -16,973,671

Now, we try dividing 16,973,671 by 3:

16,973,671 ÷ 3 = 5,657,890.3333

If the quotient is a whole number, then 3 and 5,657,890.3333 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 16,973,671
-1 -16,973,671

Let's try dividing by 4:

16,973,671 ÷ 4 = 4,243,417.75

If the quotient is a whole number, then 4 and 4,243,417.75 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 16,973,671
-1 16,973,671
Keep dividing by the next highest number until you cannot divide anymore.

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

11113291433193774,0934,14745,02353,209118,697585,2991,305,6671,543,06116,973,671
-1-11-13-29-143-319-377-4,093-4,147-45,023-53,209-118,697-585,299-1,305,667-1,543,061-16,973,671

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