Q: What are the factor combinations of the number 4,001,333?

 A:
Positive:   1 x 40013337 x 57161923 x 17397129 x 137977161 x 24853203 x 19711667 x 5999857 x 4669
Negative: -1 x -4001333-7 x -571619-23 x -173971-29 x -137977-161 x -24853-203 x -19711-667 x -5999-857 x -4669


How do I find the factor combinations of the number 4,001,333?

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 4,001,333, 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 4,001,333
-1 -4,001,333

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 4,001,333.

Example:
1 x 4,001,333 = 4,001,333
and
-1 x -4,001,333 = 4,001,333
Notice both answers equal 4,001,333

With that explanation out of the way, let's continue. Next, we take the number 4,001,333 and divide it by 2:

4,001,333 ÷ 2 = 2,000,666.5

If the quotient is a whole number, then 2 and 2,000,666.5 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 4,001,333
-1 -4,001,333

Now, we try dividing 4,001,333 by 3:

4,001,333 ÷ 3 = 1,333,777.6667

If the quotient is a whole number, then 3 and 1,333,777.6667 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 4,001,333
-1 -4,001,333

Let's try dividing by 4:

4,001,333 ÷ 4 = 1,000,333.25

If the quotient is a whole number, then 4 and 1,000,333.25 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 4,001,333
-1 4,001,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1723291612036678574,6695,99919,71124,853137,977173,971571,6194,001,333
-1-7-23-29-161-203-667-857-4,669-5,999-19,711-24,853-137,977-173,971-571,619-4,001,333

More Examples

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