Q: What are the factor combinations of the number 4,243,213?

 A:
Positive:   1 x 424321313 x 32640119 x 22332741 x 103493247 x 17179419 x 10127533 x 7961779 x 5447
Negative: -1 x -4243213-13 x -326401-19 x -223327-41 x -103493-247 x -17179-419 x -10127-533 x -7961-779 x -5447


How do I find the factor combinations of the number 4,243,213?

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 4,243,213, 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 4,243,213
-1 -4,243,213

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 4,243,213.

Example:
1 x 4,243,213 = 4,243,213
and
-1 x -4,243,213 = 4,243,213
Notice both answers equal 4,243,213

With that explanation out of the way, let's continue. Next, we take the number 4,243,213 and divide it by 2:

4,243,213 ÷ 2 = 2,121,606.5

If the quotient is a whole number, then 2 and 2,121,606.5 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 4,243,213
-1 -4,243,213

Now, we try dividing 4,243,213 by 3:

4,243,213 ÷ 3 = 1,414,404.3333

If the quotient is a whole number, then 3 and 1,414,404.3333 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 4,243,213
-1 -4,243,213

Let's try dividing by 4:

4,243,213 ÷ 4 = 1,060,803.25

If the quotient is a whole number, then 4 and 1,060,803.25 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 4,243,213
-1 4,243,213
Keep dividing by the next highest number until you cannot divide anymore.

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

11319412474195337795,4477,96110,12717,179103,493223,327326,4014,243,213
-1-13-19-41-247-419-533-779-5,447-7,961-10,127-17,179-103,493-223,327-326,401-4,243,213

More Examples

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