Q: What are the factor combinations of the number 43,431,661?

 A:
Positive:   1 x 434316617 x 620452313 x 334089791 x 477271277 x 1567931723 x 252071939 x 223993601 x 12061
Negative: -1 x -43431661-7 x -6204523-13 x -3340897-91 x -477271-277 x -156793-1723 x -25207-1939 x -22399-3601 x -12061


How do I find the factor combinations of the number 43,431,661?

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 43,431,661, 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 43,431,661
-1 -43,431,661

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 43,431,661.

Example:
1 x 43,431,661 = 43,431,661
and
-1 x -43,431,661 = 43,431,661
Notice both answers equal 43,431,661

With that explanation out of the way, let's continue. Next, we take the number 43,431,661 and divide it by 2:

43,431,661 ÷ 2 = 21,715,830.5

If the quotient is a whole number, then 2 and 21,715,830.5 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 43,431,661
-1 -43,431,661

Now, we try dividing 43,431,661 by 3:

43,431,661 ÷ 3 = 14,477,220.3333

If the quotient is a whole number, then 3 and 14,477,220.3333 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 43,431,661
-1 -43,431,661

Let's try dividing by 4:

43,431,661 ÷ 4 = 10,857,915.25

If the quotient is a whole number, then 4 and 10,857,915.25 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 43,431,661
-1 43,431,661
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912771,7231,9393,60112,06122,39925,207156,793477,2713,340,8976,204,52343,431,661
-1-7-13-91-277-1,723-1,939-3,601-12,061-22,399-25,207-156,793-477,271-3,340,897-6,204,523-43,431,661

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 43,431,661:


Ask a Question