Q: What are the factor combinations of the number 400,521,445?

 A:
Positive:   1 x 4005214455 x 8010428917 x 2356008585 x 4712017683 x 5864153415 x 1172836899 x 5805511611 x 34495
Negative: -1 x -400521445-5 x -80104289-17 x -23560085-85 x -4712017-683 x -586415-3415 x -117283-6899 x -58055-11611 x -34495


How do I find the factor combinations of the number 400,521,445?

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 400,521,445, 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.

1 400,521,445
-1 -400,521,445

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 400,521,445.

Example:
1 x 400,521,445 = 400,521,445
and
-1 x -400,521,445 = 400,521,445
Notice both answers equal 400,521,445

With that explanation out of the way, let's continue. Next, we take the number 400,521,445 and divide it by 2:

400,521,445 ÷ 2 = 200,260,722.5

If the quotient is a whole number, then 2 and 200,260,722.5 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:

1 400,521,445
-1 -400,521,445

Now, we try dividing 400,521,445 by 3:

400,521,445 ÷ 3 = 133,507,148.3333

If the quotient is a whole number, then 3 and 133,507,148.3333 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:

1 400,521,445
-1 -400,521,445

Let's try dividing by 4:

400,521,445 ÷ 4 = 100,130,361.25

If the quotient is a whole number, then 4 and 100,130,361.25 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:

1 400,521,445
-1 400,521,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1517856833,4156,89911,61134,49558,055117,283586,4154,712,01723,560,08580,104,289400,521,445
-1-5-17-85-683-3,415-6,899-11,611-34,495-58,055-117,283-586,415-4,712,017-23,560,085-80,104,289-400,521,445

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 400,521,445:


Ask a Question