Q: What are the factor combinations of the number 14,321,915?

 A:
Positive:   1 x 143219155 x 286438319 x 75378541 x 34931595 x 150757205 x 69863779 x 183853677 x 3895
Negative: -1 x -14321915-5 x -2864383-19 x -753785-41 x -349315-95 x -150757-205 x -69863-779 x -18385-3677 x -3895


How do I find the factor combinations of the number 14,321,915?

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 14,321,915, 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 14,321,915
-1 -14,321,915

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 14,321,915.

Example:
1 x 14,321,915 = 14,321,915
and
-1 x -14,321,915 = 14,321,915
Notice both answers equal 14,321,915

With that explanation out of the way, let's continue. Next, we take the number 14,321,915 and divide it by 2:

14,321,915 ÷ 2 = 7,160,957.5

If the quotient is a whole number, then 2 and 7,160,957.5 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 14,321,915
-1 -14,321,915

Now, we try dividing 14,321,915 by 3:

14,321,915 ÷ 3 = 4,773,971.6667

If the quotient is a whole number, then 3 and 4,773,971.6667 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 14,321,915
-1 -14,321,915

Let's try dividing by 4:

14,321,915 ÷ 4 = 3,580,478.75

If the quotient is a whole number, then 4 and 3,580,478.75 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 14,321,915
-1 14,321,915
Keep dividing by the next highest number until you cannot divide anymore.

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

151941952057793,6773,89518,38569,863150,757349,315753,7852,864,38314,321,915
-1-5-19-41-95-205-779-3,677-3,895-18,385-69,863-150,757-349,315-753,785-2,864,383-14,321,915

More Examples

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