Q: What are the factor combinations of the number 5,364,023?

 A:
Positive:   1 x 53640237 x 76628919 x 28231731 x 173033133 x 40331217 x 24719589 x 91071301 x 4123
Negative: -1 x -5364023-7 x -766289-19 x -282317-31 x -173033-133 x -40331-217 x -24719-589 x -9107-1301 x -4123


How do I find the factor combinations of the number 5,364,023?

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 5,364,023, 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 5,364,023
-1 -5,364,023

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 5,364,023.

Example:
1 x 5,364,023 = 5,364,023
and
-1 x -5,364,023 = 5,364,023
Notice both answers equal 5,364,023

With that explanation out of the way, let's continue. Next, we take the number 5,364,023 and divide it by 2:

5,364,023 ÷ 2 = 2,682,011.5

If the quotient is a whole number, then 2 and 2,682,011.5 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 5,364,023
-1 -5,364,023

Now, we try dividing 5,364,023 by 3:

5,364,023 ÷ 3 = 1,788,007.6667

If the quotient is a whole number, then 3 and 1,788,007.6667 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 5,364,023
-1 -5,364,023

Let's try dividing by 4:

5,364,023 ÷ 4 = 1,341,005.75

If the quotient is a whole number, then 4 and 1,341,005.75 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 5,364,023
-1 5,364,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1719311332175891,3014,1239,10724,71940,331173,033282,317766,2895,364,023
-1-7-19-31-133-217-589-1,301-4,123-9,107-24,719-40,331-173,033-282,317-766,289-5,364,023

More Examples

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