Q: What are the factor combinations of the number 8,437,363?

 A:
Positive:   1 x 843736311 x 76703331 x 272173109 x 77407227 x 37169341 x 247431199 x 70372497 x 3379
Negative: -1 x -8437363-11 x -767033-31 x -272173-109 x -77407-227 x -37169-341 x -24743-1199 x -7037-2497 x -3379


How do I find the factor combinations of the number 8,437,363?

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 8,437,363, 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 8,437,363
-1 -8,437,363

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 8,437,363.

Example:
1 x 8,437,363 = 8,437,363
and
-1 x -8,437,363 = 8,437,363
Notice both answers equal 8,437,363

With that explanation out of the way, let's continue. Next, we take the number 8,437,363 and divide it by 2:

8,437,363 ÷ 2 = 4,218,681.5

If the quotient is a whole number, then 2 and 4,218,681.5 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 8,437,363
-1 -8,437,363

Now, we try dividing 8,437,363 by 3:

8,437,363 ÷ 3 = 2,812,454.3333

If the quotient is a whole number, then 3 and 2,812,454.3333 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 8,437,363
-1 -8,437,363

Let's try dividing by 4:

8,437,363 ÷ 4 = 2,109,340.75

If the quotient is a whole number, then 4 and 2,109,340.75 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 8,437,363
-1 8,437,363
Keep dividing by the next highest number until you cannot divide anymore.

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

111311092273411,1992,4973,3797,03724,74337,16977,407272,173767,0338,437,363
-1-11-31-109-227-341-1,199-2,497-3,379-7,037-24,743-37,169-77,407-272,173-767,033-8,437,363

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,437,363:


Ask a Question