Q: What are the factor combinations of the number 401,623,135?

 A:
Positive:   1 x 4016231355 x 8032462731 x 1295558553 x 7577795155 x 2591117265 x 15155591643 x 2444458215 x 48889
Negative: -1 x -401623135-5 x -80324627-31 x -12955585-53 x -7577795-155 x -2591117-265 x -1515559-1643 x -244445-8215 x -48889


How do I find the factor combinations of the number 401,623,135?

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 401,623,135, 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.

1 401,623,135
-1 -401,623,135

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 401,623,135.

Example:
1 x 401,623,135 = 401,623,135
and
-1 x -401,623,135 = 401,623,135
Notice both answers equal 401,623,135

With that explanation out of the way, let's continue. Next, we take the number 401,623,135 and divide it by 2:

401,623,135 ÷ 2 = 200,811,567.5

If the quotient is a whole number, then 2 and 200,811,567.5 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:

1 401,623,135
-1 -401,623,135

Now, we try dividing 401,623,135 by 3:

401,623,135 ÷ 3 = 133,874,378.3333

If the quotient is a whole number, then 3 and 133,874,378.3333 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:

1 401,623,135
-1 -401,623,135

Let's try dividing by 4:

401,623,135 ÷ 4 = 100,405,783.75

If the quotient is a whole number, then 4 and 100,405,783.75 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:

1 401,623,135
-1 401,623,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1531531552651,6438,21548,889244,4451,515,5592,591,1177,577,79512,955,58580,324,627401,623,135
-1-5-31-53-155-265-1,643-8,215-48,889-244,445-1,515,559-2,591,117-7,577,795-12,955,585-80,324,627-401,623,135

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