Q: What are the factor combinations of the number 402,366,727?

 A:
Positive:   1 x 4023667277 x 5748096117 x 2366863171 x 5667137119 x 3381233497 x 8095911207 x 3333618449 x 47623
Negative: -1 x -402366727-7 x -57480961-17 x -23668631-71 x -5667137-119 x -3381233-497 x -809591-1207 x -333361-8449 x -47623


How do I find the factor combinations of the number 402,366,727?

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 402,366,727, 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.

1 402,366,727
-1 -402,366,727

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 402,366,727.

Example:
1 x 402,366,727 = 402,366,727
and
-1 x -402,366,727 = 402,366,727
Notice both answers equal 402,366,727

With that explanation out of the way, let's continue. Next, we take the number 402,366,727 and divide it by 2:

402,366,727 ÷ 2 = 201,183,363.5

If the quotient is a whole number, then 2 and 201,183,363.5 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:

1 402,366,727
-1 -402,366,727

Now, we try dividing 402,366,727 by 3:

402,366,727 ÷ 3 = 134,122,242.3333

If the quotient is a whole number, then 3 and 134,122,242.3333 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:

1 402,366,727
-1 -402,366,727

Let's try dividing by 4:

402,366,727 ÷ 4 = 100,591,681.75

If the quotient is a whole number, then 4 and 100,591,681.75 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:

1 402,366,727
-1 402,366,727
Keep dividing by the next highest number until you cannot divide anymore.

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

1717711194971,2078,44947,623333,361809,5913,381,2335,667,13723,668,63157,480,961402,366,727
-1-7-17-71-119-497-1,207-8,449-47,623-333,361-809,591-3,381,233-5,667,137-23,668,631-57,480,961-402,366,727

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