Q: What are the factor combinations of the number 41,160,631?

 A:
Positive:   1 x 4116063119 x 216634989 x 462479101 x 407531241 x 1707911691 x 243411919 x 214494579 x 8989
Negative: -1 x -41160631-19 x -2166349-89 x -462479-101 x -407531-241 x -170791-1691 x -24341-1919 x -21449-4579 x -8989


How do I find the factor combinations of the number 41,160,631?

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 41,160,631, 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 41,160,631
-1 -41,160,631

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 41,160,631.

Example:
1 x 41,160,631 = 41,160,631
and
-1 x -41,160,631 = 41,160,631
Notice both answers equal 41,160,631

With that explanation out of the way, let's continue. Next, we take the number 41,160,631 and divide it by 2:

41,160,631 ÷ 2 = 20,580,315.5

If the quotient is a whole number, then 2 and 20,580,315.5 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 41,160,631
-1 -41,160,631

Now, we try dividing 41,160,631 by 3:

41,160,631 ÷ 3 = 13,720,210.3333

If the quotient is a whole number, then 3 and 13,720,210.3333 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 41,160,631
-1 -41,160,631

Let's try dividing by 4:

41,160,631 ÷ 4 = 10,290,157.75

If the quotient is a whole number, then 4 and 10,290,157.75 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 41,160,631
-1 41,160,631
Keep dividing by the next highest number until you cannot divide anymore.

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

119891012411,6911,9194,5798,98921,44924,341170,791407,531462,4792,166,34941,160,631
-1-19-89-101-241-1,691-1,919-4,579-8,989-21,449-24,341-170,791-407,531-462,479-2,166,349-41,160,631

More Examples

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