Q: What are the factor combinations of the number 400,426,013?

 A:
Positive:   1 x 40042601313 x 3080200171 x 5639803463 x 864851923 x 433831937 x 4273496019 x 6652712181 x 32873
Negative: -1 x -400426013-13 x -30802001-71 x -5639803-463 x -864851-923 x -433831-937 x -427349-6019 x -66527-12181 x -32873


How do I find the factor combinations of the number 400,426,013?

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 400,426,013, 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.

1 400,426,013
-1 -400,426,013

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 400,426,013.

Example:
1 x 400,426,013 = 400,426,013
and
-1 x -400,426,013 = 400,426,013
Notice both answers equal 400,426,013

With that explanation out of the way, let's continue. Next, we take the number 400,426,013 and divide it by 2:

400,426,013 ÷ 2 = 200,213,006.5

If the quotient is a whole number, then 2 and 200,213,006.5 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:

1 400,426,013
-1 -400,426,013

Now, we try dividing 400,426,013 by 3:

400,426,013 ÷ 3 = 133,475,337.6667

If the quotient is a whole number, then 3 and 133,475,337.6667 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:

1 400,426,013
-1 -400,426,013

Let's try dividing by 4:

400,426,013 ÷ 4 = 100,106,503.25

If the quotient is a whole number, then 4 and 100,106,503.25 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:

1 400,426,013
-1 400,426,013
Keep dividing by the next highest number until you cannot divide anymore.

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

113714639239376,01912,18132,87366,527427,349433,831864,8515,639,80330,802,001400,426,013
-1-13-71-463-923-937-6,019-12,181-32,873-66,527-427,349-433,831-864,851-5,639,803-30,802,001-400,426,013

More Examples

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