Q: What are the factor combinations of the number 41,015,443?

 A:
Positive:   1 x 410154437 x 585934947 x 87266959 x 695177329 x 124667413 x 993112113 x 194112773 x 14791
Negative: -1 x -41015443-7 x -5859349-47 x -872669-59 x -695177-329 x -124667-413 x -99311-2113 x -19411-2773 x -14791


How do I find the factor combinations of the number 41,015,443?

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 41,015,443, 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 41,015,443
-1 -41,015,443

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 41,015,443.

Example:
1 x 41,015,443 = 41,015,443
and
-1 x -41,015,443 = 41,015,443
Notice both answers equal 41,015,443

With that explanation out of the way, let's continue. Next, we take the number 41,015,443 and divide it by 2:

41,015,443 ÷ 2 = 20,507,721.5

If the quotient is a whole number, then 2 and 20,507,721.5 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 41,015,443
-1 -41,015,443

Now, we try dividing 41,015,443 by 3:

41,015,443 ÷ 3 = 13,671,814.3333

If the quotient is a whole number, then 3 and 13,671,814.3333 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 41,015,443
-1 -41,015,443

Let's try dividing by 4:

41,015,443 ÷ 4 = 10,253,860.75

If the quotient is a whole number, then 4 and 10,253,860.75 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 41,015,443
-1 41,015,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1747593294132,1132,77314,79119,41199,311124,667695,177872,6695,859,34941,015,443
-1-7-47-59-329-413-2,113-2,773-14,791-19,411-99,311-124,667-695,177-872,669-5,859,349-41,015,443

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 41,015,443:


Ask a Question