Q: What are the factor combinations of the number 402,031,135?

 A:
Positive:   1 x 4020311355 x 8040622711 x 3654828555 x 7309657881 x 4563354405 x 912678297 x 484559691 x 41485
Negative: -1 x -402031135-5 x -80406227-11 x -36548285-55 x -7309657-881 x -456335-4405 x -91267-8297 x -48455-9691 x -41485


How do I find the factor combinations of the number 402,031,135?

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 402,031,135, 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.

1 402,031,135
-1 -402,031,135

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 402,031,135.

Example:
1 x 402,031,135 = 402,031,135
and
-1 x -402,031,135 = 402,031,135
Notice both answers equal 402,031,135

With that explanation out of the way, let's continue. Next, we take the number 402,031,135 and divide it by 2:

402,031,135 ÷ 2 = 201,015,567.5

If the quotient is a whole number, then 2 and 201,015,567.5 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:

1 402,031,135
-1 -402,031,135

Now, we try dividing 402,031,135 by 3:

402,031,135 ÷ 3 = 134,010,378.3333

If the quotient is a whole number, then 3 and 134,010,378.3333 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:

1 402,031,135
-1 -402,031,135

Let's try dividing by 4:

402,031,135 ÷ 4 = 100,507,783.75

If the quotient is a whole number, then 4 and 100,507,783.75 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:

1 402,031,135
-1 402,031,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1511558814,4058,2979,69141,48548,45591,267456,3357,309,65736,548,28580,406,227402,031,135
-1-5-11-55-881-4,405-8,297-9,691-41,485-48,455-91,267-456,335-7,309,657-36,548,285-80,406,227-402,031,135

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