Q: What are the factor combinations of the number 5,620,027?

 A:
Positive:   1 x 56200277 x 80286123 x 24434967 x 83881161 x 34907469 x 11983521 x 107871541 x 3647
Negative: -1 x -5620027-7 x -802861-23 x -244349-67 x -83881-161 x -34907-469 x -11983-521 x -10787-1541 x -3647


How do I find the factor combinations of the number 5,620,027?

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 5,620,027, 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 5,620,027
-1 -5,620,027

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 5,620,027.

Example:
1 x 5,620,027 = 5,620,027
and
-1 x -5,620,027 = 5,620,027
Notice both answers equal 5,620,027

With that explanation out of the way, let's continue. Next, we take the number 5,620,027 and divide it by 2:

5,620,027 ÷ 2 = 2,810,013.5

If the quotient is a whole number, then 2 and 2,810,013.5 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 5,620,027
-1 -5,620,027

Now, we try dividing 5,620,027 by 3:

5,620,027 ÷ 3 = 1,873,342.3333

If the quotient is a whole number, then 3 and 1,873,342.3333 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 5,620,027
-1 -5,620,027

Let's try dividing by 4:

5,620,027 ÷ 4 = 1,405,006.75

If the quotient is a whole number, then 4 and 1,405,006.75 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 5,620,027
-1 5,620,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1723671614695211,5413,64710,78711,98334,90783,881244,349802,8615,620,027
-1-7-23-67-161-469-521-1,541-3,647-10,787-11,983-34,907-83,881-244,349-802,861-5,620,027

More Examples

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