Q: What are the factor combinations of the number 400,426,015?

 A:
Positive:   1 x 4004260155 x 8008520311 x 3640236555 x 72804731093 x 3663555465 x 732716661 x 6011512023 x 33305
Negative: -1 x -400426015-5 x -80085203-11 x -36402365-55 x -7280473-1093 x -366355-5465 x -73271-6661 x -60115-12023 x -33305


How do I find the factor combinations of the number 400,426,015?

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 400,426,015, 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.

1 400,426,015
-1 -400,426,015

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 400,426,015.

Example:
1 x 400,426,015 = 400,426,015
and
-1 x -400,426,015 = 400,426,015
Notice both answers equal 400,426,015

With that explanation out of the way, let's continue. Next, we take the number 400,426,015 and divide it by 2:

400,426,015 ÷ 2 = 200,213,007.5

If the quotient is a whole number, then 2 and 200,213,007.5 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:

1 400,426,015
-1 -400,426,015

Now, we try dividing 400,426,015 by 3:

400,426,015 ÷ 3 = 133,475,338.3333

If the quotient is a whole number, then 3 and 133,475,338.3333 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:

1 400,426,015
-1 -400,426,015

Let's try dividing by 4:

400,426,015 ÷ 4 = 100,106,503.75

If the quotient is a whole number, then 4 and 100,106,503.75 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:

1 400,426,015
-1 400,426,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,0935,4656,66112,02333,30560,11573,271366,3557,280,47336,402,36580,085,203400,426,015
-1-5-11-55-1,093-5,465-6,661-12,023-33,305-60,115-73,271-366,355-7,280,473-36,402,365-80,085,203-400,426,015

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