Q: What are the factor combinations of the number 40,165,345?

 A:
Positive:   1 x 401653455 x 803306911 x 365139555 x 730279121 x 331945197 x 203885337 x 119185605 x 66389985 x 407771685 x 238372167 x 185353707 x 10835
Negative: -1 x -40165345-5 x -8033069-11 x -3651395-55 x -730279-121 x -331945-197 x -203885-337 x -119185-605 x -66389-985 x -40777-1685 x -23837-2167 x -18535-3707 x -10835


How do I find the factor combinations of the number 40,165,345?

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 40,165,345, 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 40,165,345
-1 -40,165,345

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 40,165,345.

Example:
1 x 40,165,345 = 40,165,345
and
-1 x -40,165,345 = 40,165,345
Notice both answers equal 40,165,345

With that explanation out of the way, let's continue. Next, we take the number 40,165,345 and divide it by 2:

40,165,345 ÷ 2 = 20,082,672.5

If the quotient is a whole number, then 2 and 20,082,672.5 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 40,165,345
-1 -40,165,345

Now, we try dividing 40,165,345 by 3:

40,165,345 ÷ 3 = 13,388,448.3333

If the quotient is a whole number, then 3 and 13,388,448.3333 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 40,165,345
-1 -40,165,345

Let's try dividing by 4:

40,165,345 ÷ 4 = 10,041,336.25

If the quotient is a whole number, then 4 and 10,041,336.25 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 40,165,345
-1 40,165,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551211973376059851,6852,1673,70710,83518,53523,83740,77766,389119,185203,885331,945730,2793,651,3958,033,06940,165,345
-1-5-11-55-121-197-337-605-985-1,685-2,167-3,707-10,835-18,535-23,837-40,777-66,389-119,185-203,885-331,945-730,279-3,651,395-8,033,069-40,165,345

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