Q: What are the factor combinations of the number 40,219,165?

 A:
Positive:   1 x 402191655 x 80438337 x 574559535 x 1149119223 x 1803551115 x 360711561 x 257655153 x 7805
Negative: -1 x -40219165-5 x -8043833-7 x -5745595-35 x -1149119-223 x -180355-1115 x -36071-1561 x -25765-5153 x -7805


How do I find the factor combinations of the number 40,219,165?

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 40,219,165, 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 40,219,165
-1 -40,219,165

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 40,219,165.

Example:
1 x 40,219,165 = 40,219,165
and
-1 x -40,219,165 = 40,219,165
Notice both answers equal 40,219,165

With that explanation out of the way, let's continue. Next, we take the number 40,219,165 and divide it by 2:

40,219,165 ÷ 2 = 20,109,582.5

If the quotient is a whole number, then 2 and 20,109,582.5 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 40,219,165
-1 -40,219,165

Now, we try dividing 40,219,165 by 3:

40,219,165 ÷ 3 = 13,406,388.3333

If the quotient is a whole number, then 3 and 13,406,388.3333 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 40,219,165
-1 -40,219,165

Let's try dividing by 4:

40,219,165 ÷ 4 = 10,054,791.25

If the quotient is a whole number, then 4 and 10,054,791.25 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 40,219,165
-1 40,219,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157352231,1151,5615,1537,80525,76536,071180,3551,149,1195,745,5958,043,83340,219,165
-1-5-7-35-223-1,115-1,561-5,153-7,805-25,765-36,071-180,355-1,149,119-5,745,595-8,043,833-40,219,165

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