Q: What are the factor combinations of the number 4,420,031?

 A:
Positive:   1 x 44200317 x 63143311 x 40182177 x 57403137 x 32263419 x 10549959 x 46091507 x 2933
Negative: -1 x -4420031-7 x -631433-11 x -401821-77 x -57403-137 x -32263-419 x -10549-959 x -4609-1507 x -2933


How do I find the factor combinations of the number 4,420,031?

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 4,420,031, 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 4,420,031
-1 -4,420,031

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 4,420,031.

Example:
1 x 4,420,031 = 4,420,031
and
-1 x -4,420,031 = 4,420,031
Notice both answers equal 4,420,031

With that explanation out of the way, let's continue. Next, we take the number 4,420,031 and divide it by 2:

4,420,031 ÷ 2 = 2,210,015.5

If the quotient is a whole number, then 2 and 2,210,015.5 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 4,420,031
-1 -4,420,031

Now, we try dividing 4,420,031 by 3:

4,420,031 ÷ 3 = 1,473,343.6667

If the quotient is a whole number, then 3 and 1,473,343.6667 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 4,420,031
-1 -4,420,031

Let's try dividing by 4:

4,420,031 ÷ 4 = 1,105,007.75

If the quotient is a whole number, then 4 and 1,105,007.75 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 4,420,031
-1 4,420,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771374199591,5072,9334,60910,54932,26357,403401,821631,4334,420,031
-1-7-11-77-137-419-959-1,507-2,933-4,609-10,549-32,263-57,403-401,821-631,433-4,420,031

More Examples

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