Q: What are the factor combinations of the number 400,253,503?

 A:
Positive:   1 x 40025350313 x 3078873143 x 9308221367 x 1090609559 x 7160171951 x 2051534771 x 8389315781 x 25363
Negative: -1 x -400253503-13 x -30788731-43 x -9308221-367 x -1090609-559 x -716017-1951 x -205153-4771 x -83893-15781 x -25363


How do I find the factor combinations of the number 400,253,503?

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 400,253,503, 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.

1 400,253,503
-1 -400,253,503

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 400,253,503.

Example:
1 x 400,253,503 = 400,253,503
and
-1 x -400,253,503 = 400,253,503
Notice both answers equal 400,253,503

With that explanation out of the way, let's continue. Next, we take the number 400,253,503 and divide it by 2:

400,253,503 ÷ 2 = 200,126,751.5

If the quotient is a whole number, then 2 and 200,126,751.5 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:

1 400,253,503
-1 -400,253,503

Now, we try dividing 400,253,503 by 3:

400,253,503 ÷ 3 = 133,417,834.3333

If the quotient is a whole number, then 3 and 133,417,834.3333 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:

1 400,253,503
-1 -400,253,503

Let's try dividing by 4:

400,253,503 ÷ 4 = 100,063,375.75

If the quotient is a whole number, then 4 and 100,063,375.75 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:

1 400,253,503
-1 400,253,503
Keep dividing by the next highest number until you cannot divide anymore.

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

113433675591,9514,77115,78125,36383,893205,153716,0171,090,6099,308,22130,788,731400,253,503
-1-13-43-367-559-1,951-4,771-15,781-25,363-83,893-205,153-716,017-1,090,609-9,308,221-30,788,731-400,253,503

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 400,253,503:


Ask a Question