Q: What are the factor combinations of the number 16,744,745?

 A:
Positive:   1 x 167447455 x 334894917 x 98498529 x 57740585 x 196997145 x 115481493 x 339652465 x 6793
Negative: -1 x -16744745-5 x -3348949-17 x -984985-29 x -577405-85 x -196997-145 x -115481-493 x -33965-2465 x -6793


How do I find the factor combinations of the number 16,744,745?

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 16,744,745, 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 16,744,745
-1 -16,744,745

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 16,744,745.

Example:
1 x 16,744,745 = 16,744,745
and
-1 x -16,744,745 = 16,744,745
Notice both answers equal 16,744,745

With that explanation out of the way, let's continue. Next, we take the number 16,744,745 and divide it by 2:

16,744,745 ÷ 2 = 8,372,372.5

If the quotient is a whole number, then 2 and 8,372,372.5 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 16,744,745
-1 -16,744,745

Now, we try dividing 16,744,745 by 3:

16,744,745 ÷ 3 = 5,581,581.6667

If the quotient is a whole number, then 3 and 5,581,581.6667 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 16,744,745
-1 -16,744,745

Let's try dividing by 4:

16,744,745 ÷ 4 = 4,186,186.25

If the quotient is a whole number, then 4 and 4,186,186.25 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 16,744,745
-1 16,744,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851454932,4656,79333,965115,481196,997577,405984,9853,348,94916,744,745
-1-5-17-29-85-145-493-2,465-6,793-33,965-115,481-196,997-577,405-984,985-3,348,949-16,744,745

More Examples

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