Q: What are the factor combinations of the number 402,145,711?

 A:
Positive:   1 x 40214571111 x 3655870137 x 1086880359 x 6816029407 x 988073649 x 6196392183 x 18421716747 x 24013
Negative: -1 x -402145711-11 x -36558701-37 x -10868803-59 x -6816029-407 x -988073-649 x -619639-2183 x -184217-16747 x -24013


How do I find the factor combinations of the number 402,145,711?

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 402,145,711, 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.

1 402,145,711
-1 -402,145,711

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 402,145,711.

Example:
1 x 402,145,711 = 402,145,711
and
-1 x -402,145,711 = 402,145,711
Notice both answers equal 402,145,711

With that explanation out of the way, let's continue. Next, we take the number 402,145,711 and divide it by 2:

402,145,711 ÷ 2 = 201,072,855.5

If the quotient is a whole number, then 2 and 201,072,855.5 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:

1 402,145,711
-1 -402,145,711

Now, we try dividing 402,145,711 by 3:

402,145,711 ÷ 3 = 134,048,570.3333

If the quotient is a whole number, then 3 and 134,048,570.3333 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:

1 402,145,711
-1 -402,145,711

Let's try dividing by 4:

402,145,711 ÷ 4 = 100,536,427.75

If the quotient is a whole number, then 4 and 100,536,427.75 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:

1 402,145,711
-1 402,145,711
Keep dividing by the next highest number until you cannot divide anymore.

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

11137594076492,18316,74724,013184,217619,639988,0736,816,02910,868,80336,558,701402,145,711
-1-11-37-59-407-649-2,183-16,747-24,013-184,217-619,639-988,073-6,816,029-10,868,803-36,558,701-402,145,711

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