Q: What are the factor combinations of the number 403,135,501?

 A:
Positive:   1 x 40313550117 x 2371385331 x 13004371479 x 841619527 x 7649631597 x 2524338143 x 4950714849 x 27149
Negative: -1 x -403135501-17 x -23713853-31 x -13004371-479 x -841619-527 x -764963-1597 x -252433-8143 x -49507-14849 x -27149


How do I find the factor combinations of the number 403,135,501?

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 403,135,501, 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.

1 403,135,501
-1 -403,135,501

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 403,135,501.

Example:
1 x 403,135,501 = 403,135,501
and
-1 x -403,135,501 = 403,135,501
Notice both answers equal 403,135,501

With that explanation out of the way, let's continue. Next, we take the number 403,135,501 and divide it by 2:

403,135,501 ÷ 2 = 201,567,750.5

If the quotient is a whole number, then 2 and 201,567,750.5 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:

1 403,135,501
-1 -403,135,501

Now, we try dividing 403,135,501 by 3:

403,135,501 ÷ 3 = 134,378,500.3333

If the quotient is a whole number, then 3 and 134,378,500.3333 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:

1 403,135,501
-1 -403,135,501

Let's try dividing by 4:

403,135,501 ÷ 4 = 100,783,875.25

If the quotient is a whole number, then 4 and 100,783,875.25 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:

1 403,135,501
-1 403,135,501
Keep dividing by the next highest number until you cannot divide anymore.

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

117314795271,5978,14314,84927,14949,507252,433764,963841,61913,004,37123,713,853403,135,501
-1-17-31-479-527-1,597-8,143-14,849-27,149-49,507-252,433-764,963-841,619-13,004,371-23,713,853-403,135,501

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