Q: What are the factor combinations of the number 403,323,137?

 A:
Positive:   1 x 4033231377 x 57617591853 x 4728295971 x 67547
Negative: -1 x -403323137-7 x -57617591-853 x -472829-5971 x -67547


How do I find the factor combinations of the number 403,323,137?

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 403,323,137, 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.

1 403,323,137
-1 -403,323,137

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 403,323,137.

Example:
1 x 403,323,137 = 403,323,137
and
-1 x -403,323,137 = 403,323,137
Notice both answers equal 403,323,137

With that explanation out of the way, let's continue. Next, we take the number 403,323,137 and divide it by 2:

403,323,137 ÷ 2 = 201,661,568.5

If the quotient is a whole number, then 2 and 201,661,568.5 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:

1 403,323,137
-1 -403,323,137

Now, we try dividing 403,323,137 by 3:

403,323,137 ÷ 3 = 134,441,045.6667

If the quotient is a whole number, then 3 and 134,441,045.6667 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:

1 403,323,137
-1 -403,323,137

Let's try dividing by 4:

403,323,137 ÷ 4 = 100,830,784.25

If the quotient is a whole number, then 4 and 100,830,784.25 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:

1 403,323,137
-1 403,323,137
Keep dividing by the next highest number until you cannot divide anymore.

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

178535,97167,547472,82957,617,591403,323,137
-1-7-853-5,971-67,547-472,829-57,617,591-403,323,137

More Examples

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