Q: What are the factor combinations of the number 9,074,723?

 A:
Positive:   1 x 90747237 x 129638919 x 47761731 x 29273371 x 127813133 x 68231217 x 41819497 x 18259589 x 15407961 x 94431349 x 67272201 x 4123
Negative: -1 x -9074723-7 x -1296389-19 x -477617-31 x -292733-71 x -127813-133 x -68231-217 x -41819-497 x -18259-589 x -15407-961 x -9443-1349 x -6727-2201 x -4123


How do I find the factor combinations of the number 9,074,723?

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 9,074,723, 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 9,074,723
-1 -9,074,723

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 9,074,723.

Example:
1 x 9,074,723 = 9,074,723
and
-1 x -9,074,723 = 9,074,723
Notice both answers equal 9,074,723

With that explanation out of the way, let's continue. Next, we take the number 9,074,723 and divide it by 2:

9,074,723 ÷ 2 = 4,537,361.5

If the quotient is a whole number, then 2 and 4,537,361.5 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 9,074,723
-1 -9,074,723

Now, we try dividing 9,074,723 by 3:

9,074,723 ÷ 3 = 3,024,907.6667

If the quotient is a whole number, then 3 and 3,024,907.6667 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 9,074,723
-1 -9,074,723

Let's try dividing by 4:

9,074,723 ÷ 4 = 2,268,680.75

If the quotient is a whole number, then 4 and 2,268,680.75 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 9,074,723
-1 9,074,723
Keep dividing by the next highest number until you cannot divide anymore.

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

171931711332174975899611,3492,2014,1236,7279,44315,40718,25941,81968,231127,813292,733477,6171,296,3899,074,723
-1-7-19-31-71-133-217-497-589-961-1,349-2,201-4,123-6,727-9,443-15,407-18,259-41,819-68,231-127,813-292,733-477,617-1,296,389-9,074,723

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