Q: What are the factor combinations of the number 402,264,445?

 A:
Positive:   1 x 4022644455 x 8045288911 x 3656949555 x 731389979 x 5091955395 x 1018391869 x 4629054345 x 92581
Negative: -1 x -402264445-5 x -80452889-11 x -36569495-55 x -7313899-79 x -5091955-395 x -1018391-869 x -462905-4345 x -92581


How do I find the factor combinations of the number 402,264,445?

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 402,264,445, 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.

1 402,264,445
-1 -402,264,445

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 402,264,445.

Example:
1 x 402,264,445 = 402,264,445
and
-1 x -402,264,445 = 402,264,445
Notice both answers equal 402,264,445

With that explanation out of the way, let's continue. Next, we take the number 402,264,445 and divide it by 2:

402,264,445 ÷ 2 = 201,132,222.5

If the quotient is a whole number, then 2 and 201,132,222.5 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:

1 402,264,445
-1 -402,264,445

Now, we try dividing 402,264,445 by 3:

402,264,445 ÷ 3 = 134,088,148.3333

If the quotient is a whole number, then 3 and 134,088,148.3333 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:

1 402,264,445
-1 -402,264,445

Let's try dividing by 4:

402,264,445 ÷ 4 = 100,566,111.25

If the quotient is a whole number, then 4 and 100,566,111.25 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:

1 402,264,445
-1 402,264,445
Keep dividing by the next highest number until you cannot divide anymore.

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

151155793958694,34592,581462,9051,018,3915,091,9557,313,89936,569,49580,452,889402,264,445
-1-5-11-55-79-395-869-4,345-92,581-462,905-1,018,391-5,091,955-7,313,899-36,569,495-80,452,889-402,264,445

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