Q: What are the factor combinations of the number 400,627,345?

 A:
Positive:   1 x 4006273455 x 8012546943 x 9316915173 x 2315765215 x 1863383865 x 4631537439 x 5385510771 x 37195
Negative: -1 x -400627345-5 x -80125469-43 x -9316915-173 x -2315765-215 x -1863383-865 x -463153-7439 x -53855-10771 x -37195


How do I find the factor combinations of the number 400,627,345?

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 400,627,345, 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.

1 400,627,345
-1 -400,627,345

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 400,627,345.

Example:
1 x 400,627,345 = 400,627,345
and
-1 x -400,627,345 = 400,627,345
Notice both answers equal 400,627,345

With that explanation out of the way, let's continue. Next, we take the number 400,627,345 and divide it by 2:

400,627,345 ÷ 2 = 200,313,672.5

If the quotient is a whole number, then 2 and 200,313,672.5 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:

1 400,627,345
-1 -400,627,345

Now, we try dividing 400,627,345 by 3:

400,627,345 ÷ 3 = 133,542,448.3333

If the quotient is a whole number, then 3 and 133,542,448.3333 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:

1 400,627,345
-1 -400,627,345

Let's try dividing by 4:

400,627,345 ÷ 4 = 100,156,836.25

If the quotient is a whole number, then 4 and 100,156,836.25 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:

1 400,627,345
-1 400,627,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15431732158657,43910,77137,19553,855463,1531,863,3832,315,7659,316,91580,125,469400,627,345
-1-5-43-173-215-865-7,439-10,771-37,195-53,855-463,153-1,863,383-2,315,765-9,316,915-80,125,469-400,627,345

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 400,627,345:


Ask a Question