Q: What are the factor combinations of the number 402,124,871?

 A:
Positive:   1 x 40212487161 x 6592211109 x 3689219197 x 2041243307 x 13098536649 x 6047912017 x 3346318727 x 21473
Negative: -1 x -402124871-61 x -6592211-109 x -3689219-197 x -2041243-307 x -1309853-6649 x -60479-12017 x -33463-18727 x -21473


How do I find the factor combinations of the number 402,124,871?

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 402,124,871, 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.

1 402,124,871
-1 -402,124,871

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 402,124,871.

Example:
1 x 402,124,871 = 402,124,871
and
-1 x -402,124,871 = 402,124,871
Notice both answers equal 402,124,871

With that explanation out of the way, let's continue. Next, we take the number 402,124,871 and divide it by 2:

402,124,871 ÷ 2 = 201,062,435.5

If the quotient is a whole number, then 2 and 201,062,435.5 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:

1 402,124,871
-1 -402,124,871

Now, we try dividing 402,124,871 by 3:

402,124,871 ÷ 3 = 134,041,623.6667

If the quotient is a whole number, then 3 and 134,041,623.6667 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:

1 402,124,871
-1 -402,124,871

Let's try dividing by 4:

402,124,871 ÷ 4 = 100,531,217.75

If the quotient is a whole number, then 4 and 100,531,217.75 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:

1 402,124,871
-1 402,124,871
Keep dividing by the next highest number until you cannot divide anymore.

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

1611091973076,64912,01718,72721,47333,46360,4791,309,8532,041,2433,689,2196,592,211402,124,871
-1-61-109-197-307-6,649-12,017-18,727-21,473-33,463-60,479-1,309,853-2,041,243-3,689,219-6,592,211-402,124,871

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