Q: What are the factor combinations of the number 402,660,557?

 A:
Positive:   1 x 40266055713 x 3097388943 x 936419953 x 7597369559 x 720323689 x 5844132279 x 17668313591 x 29627
Negative: -1 x -402660557-13 x -30973889-43 x -9364199-53 x -7597369-559 x -720323-689 x -584413-2279 x -176683-13591 x -29627


How do I find the factor combinations of the number 402,660,557?

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 402,660,557, 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.

1 402,660,557
-1 -402,660,557

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 402,660,557.

Example:
1 x 402,660,557 = 402,660,557
and
-1 x -402,660,557 = 402,660,557
Notice both answers equal 402,660,557

With that explanation out of the way, let's continue. Next, we take the number 402,660,557 and divide it by 2:

402,660,557 ÷ 2 = 201,330,278.5

If the quotient is a whole number, then 2 and 201,330,278.5 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:

1 402,660,557
-1 -402,660,557

Now, we try dividing 402,660,557 by 3:

402,660,557 ÷ 3 = 134,220,185.6667

If the quotient is a whole number, then 3 and 134,220,185.6667 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:

1 402,660,557
-1 -402,660,557

Let's try dividing by 4:

402,660,557 ÷ 4 = 100,665,139.25

If the quotient is a whole number, then 4 and 100,665,139.25 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:

1 402,660,557
-1 402,660,557
Keep dividing by the next highest number until you cannot divide anymore.

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

11343535596892,27913,59129,627176,683584,413720,3237,597,3699,364,19930,973,889402,660,557
-1-13-43-53-559-689-2,279-13,591-29,627-176,683-584,413-720,323-7,597,369-9,364,199-30,973,889-402,660,557

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