Q: What are the factor combinations of the number 402,134,461?

 A:
Positive:   1 x 40213446123 x 17484107149 x 2698889271 x 1483891433 x 9287173427 x 1173436233 x 645179959 x 40379
Negative: -1 x -402134461-23 x -17484107-149 x -2698889-271 x -1483891-433 x -928717-3427 x -117343-6233 x -64517-9959 x -40379


How do I find the factor combinations of the number 402,134,461?

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 402,134,461, 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.

1 402,134,461
-1 -402,134,461

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 402,134,461.

Example:
1 x 402,134,461 = 402,134,461
and
-1 x -402,134,461 = 402,134,461
Notice both answers equal 402,134,461

With that explanation out of the way, let's continue. Next, we take the number 402,134,461 and divide it by 2:

402,134,461 ÷ 2 = 201,067,230.5

If the quotient is a whole number, then 2 and 201,067,230.5 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:

1 402,134,461
-1 -402,134,461

Now, we try dividing 402,134,461 by 3:

402,134,461 ÷ 3 = 134,044,820.3333

If the quotient is a whole number, then 3 and 134,044,820.3333 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:

1 402,134,461
-1 -402,134,461

Let's try dividing by 4:

402,134,461 ÷ 4 = 100,533,615.25

If the quotient is a whole number, then 4 and 100,533,615.25 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:

1 402,134,461
-1 402,134,461
Keep dividing by the next highest number until you cannot divide anymore.

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

1231492714333,4276,2339,95940,37964,517117,343928,7171,483,8912,698,88917,484,107402,134,461
-1-23-149-271-433-3,427-6,233-9,959-40,379-64,517-117,343-928,717-1,483,891-2,698,889-17,484,107-402,134,461

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