Q: What are the factor combinations of the number 169,321,369?

 A:
Positive:   1 x 1693213697 x 2418876719 x 8911651133 x 1273093503 x 3366232531 x 668993521 x 480899557 x 17717
Negative: -1 x -169321369-7 x -24188767-19 x -8911651-133 x -1273093-503 x -336623-2531 x -66899-3521 x -48089-9557 x -17717


How do I find the factor combinations of the number 169,321,369?

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 169,321,369, 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.

1 169,321,369
-1 -169,321,369

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 169,321,369.

Example:
1 x 169,321,369 = 169,321,369
and
-1 x -169,321,369 = 169,321,369
Notice both answers equal 169,321,369

With that explanation out of the way, let's continue. Next, we take the number 169,321,369 and divide it by 2:

169,321,369 ÷ 2 = 84,660,684.5

If the quotient is a whole number, then 2 and 84,660,684.5 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:

1 169,321,369
-1 -169,321,369

Now, we try dividing 169,321,369 by 3:

169,321,369 ÷ 3 = 56,440,456.3333

If the quotient is a whole number, then 3 and 56,440,456.3333 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:

1 169,321,369
-1 -169,321,369

Let's try dividing by 4:

169,321,369 ÷ 4 = 42,330,342.25

If the quotient is a whole number, then 4 and 42,330,342.25 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:

1 169,321,369
-1 169,321,369
Keep dividing by the next highest number until you cannot divide anymore.

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

17191335032,5313,5219,55717,71748,08966,899336,6231,273,0938,911,65124,188,767169,321,369
-1-7-19-133-503-2,531-3,521-9,557-17,717-48,089-66,899-336,623-1,273,093-8,911,651-24,188,767-169,321,369

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