Q: What are the factor combinations of the number 40,546,745?

 A:
Positive:   1 x 405467455 x 810934941 x 98894583 x 488515205 x 197789415 x 977032383 x 170153403 x 11915
Negative: -1 x -40546745-5 x -8109349-41 x -988945-83 x -488515-205 x -197789-415 x -97703-2383 x -17015-3403 x -11915


How do I find the factor combinations of the number 40,546,745?

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 40,546,745, 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 40,546,745
-1 -40,546,745

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 40,546,745.

Example:
1 x 40,546,745 = 40,546,745
and
-1 x -40,546,745 = 40,546,745
Notice both answers equal 40,546,745

With that explanation out of the way, let's continue. Next, we take the number 40,546,745 and divide it by 2:

40,546,745 ÷ 2 = 20,273,372.5

If the quotient is a whole number, then 2 and 20,273,372.5 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 40,546,745
-1 -40,546,745

Now, we try dividing 40,546,745 by 3:

40,546,745 ÷ 3 = 13,515,581.6667

If the quotient is a whole number, then 3 and 13,515,581.6667 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 40,546,745
-1 -40,546,745

Let's try dividing by 4:

40,546,745 ÷ 4 = 10,136,686.25

If the quotient is a whole number, then 4 and 10,136,686.25 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 40,546,745
-1 40,546,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1541832054152,3833,40311,91517,01597,703197,789488,515988,9458,109,34940,546,745
-1-5-41-83-205-415-2,383-3,403-11,915-17,015-97,703-197,789-488,515-988,945-8,109,349-40,546,745

More Examples

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