Q: What are the factor combinations of the number 40,234,621?

 A:
Positive:   1 x 402346217 x 574780331 x 129789179 x 509299217 x 185413553 x 727572347 x 171432449 x 16429
Negative: -1 x -40234621-7 x -5747803-31 x -1297891-79 x -509299-217 x -185413-553 x -72757-2347 x -17143-2449 x -16429


How do I find the factor combinations of the number 40,234,621?

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 40,234,621, 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 40,234,621
-1 -40,234,621

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 40,234,621.

Example:
1 x 40,234,621 = 40,234,621
and
-1 x -40,234,621 = 40,234,621
Notice both answers equal 40,234,621

With that explanation out of the way, let's continue. Next, we take the number 40,234,621 and divide it by 2:

40,234,621 ÷ 2 = 20,117,310.5

If the quotient is a whole number, then 2 and 20,117,310.5 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 40,234,621
-1 -40,234,621

Now, we try dividing 40,234,621 by 3:

40,234,621 ÷ 3 = 13,411,540.3333

If the quotient is a whole number, then 3 and 13,411,540.3333 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 40,234,621
-1 -40,234,621

Let's try dividing by 4:

40,234,621 ÷ 4 = 10,058,655.25

If the quotient is a whole number, then 4 and 10,058,655.25 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 40,234,621
-1 40,234,621
Keep dividing by the next highest number until you cannot divide anymore.

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

1731792175532,3472,44916,42917,14372,757185,413509,2991,297,8915,747,80340,234,621
-1-7-31-79-217-553-2,347-2,449-16,429-17,143-72,757-185,413-509,299-1,297,891-5,747,803-40,234,621

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,234,621:


Ask a Question