Q: What are the factor combinations of the number 4,387,999?

 A:
Positive:   1 x 43879997 x 62685711 x 39890949 x 8955177 x 56987343 x 12793539 x 81411163 x 3773
Negative: -1 x -4387999-7 x -626857-11 x -398909-49 x -89551-77 x -56987-343 x -12793-539 x -8141-1163 x -3773


How do I find the factor combinations of the number 4,387,999?

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 4,387,999, 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 4,387,999
-1 -4,387,999

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 4,387,999.

Example:
1 x 4,387,999 = 4,387,999
and
-1 x -4,387,999 = 4,387,999
Notice both answers equal 4,387,999

With that explanation out of the way, let's continue. Next, we take the number 4,387,999 and divide it by 2:

4,387,999 ÷ 2 = 2,193,999.5

If the quotient is a whole number, then 2 and 2,193,999.5 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 4,387,999
-1 -4,387,999

Now, we try dividing 4,387,999 by 3:

4,387,999 ÷ 3 = 1,462,666.3333

If the quotient is a whole number, then 3 and 1,462,666.3333 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 4,387,999
-1 -4,387,999

Let's try dividing by 4:

4,387,999 ÷ 4 = 1,096,999.75

If the quotient is a whole number, then 4 and 1,096,999.75 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 4,387,999
-1 4,387,999
Keep dividing by the next highest number until you cannot divide anymore.

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

171149773435391,1633,7738,14112,79356,98789,551398,909626,8574,387,999
-1-7-11-49-77-343-539-1,163-3,773-8,141-12,793-56,987-89,551-398,909-626,857-4,387,999

More Examples

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