Q: What are the factor combinations of the number 16,123,667?

 A:
Positive:   1 x 161236677 x 230338117 x 94845123 x 70102943 x 374969119 x 135493137 x 117691161 x 100147301 x 53567391 x 41237731 x 22057959 x 16813989 x 163032329 x 69232737 x 58913151 x 5117
Negative: -1 x -16123667-7 x -2303381-17 x -948451-23 x -701029-43 x -374969-119 x -135493-137 x -117691-161 x -100147-301 x -53567-391 x -41237-731 x -22057-959 x -16813-989 x -16303-2329 x -6923-2737 x -5891-3151 x -5117


How do I find the factor combinations of the number 16,123,667?

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 16,123,667, 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 16,123,667
-1 -16,123,667

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 16,123,667.

Example:
1 x 16,123,667 = 16,123,667
and
-1 x -16,123,667 = 16,123,667
Notice both answers equal 16,123,667

With that explanation out of the way, let's continue. Next, we take the number 16,123,667 and divide it by 2:

16,123,667 ÷ 2 = 8,061,833.5

If the quotient is a whole number, then 2 and 8,061,833.5 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 16,123,667
-1 -16,123,667

Now, we try dividing 16,123,667 by 3:

16,123,667 ÷ 3 = 5,374,555.6667

If the quotient is a whole number, then 3 and 5,374,555.6667 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 16,123,667
-1 -16,123,667

Let's try dividing by 4:

16,123,667 ÷ 4 = 4,030,916.75

If the quotient is a whole number, then 4 and 4,030,916.75 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 16,123,667
-1 16,123,667
Keep dividing by the next highest number until you cannot divide anymore.

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

171723431191371613013917319599892,3292,7373,1515,1175,8916,92316,30316,81322,05741,23753,567100,147117,691135,493374,969701,029948,4512,303,38116,123,667
-1-7-17-23-43-119-137-161-301-391-731-959-989-2,329-2,737-3,151-5,117-5,891-6,923-16,303-16,813-22,057-41,237-53,567-100,147-117,691-135,493-374,969-701,029-948,451-2,303,381-16,123,667

More Examples

Here are some more numbers to try:

16,123,66516,123,66616,123,66816,123,669
Try the factor calculator

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