Q: What are the factor combinations of the number 440,365,435?

 A:
Positive:   1 x 4403654355 x 8807308729 x 15185015145 x 3037003631 x 6978853155 x 1395774813 x 9149518299 x 24065
Negative: -1 x -440365435-5 x -88073087-29 x -15185015-145 x -3037003-631 x -697885-3155 x -139577-4813 x -91495-18299 x -24065


How do I find the factor combinations of the number 440,365,435?

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 440,365,435, 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.

1 440,365,435
-1 -440,365,435

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 440,365,435.

Example:
1 x 440,365,435 = 440,365,435
and
-1 x -440,365,435 = 440,365,435
Notice both answers equal 440,365,435

With that explanation out of the way, let's continue. Next, we take the number 440,365,435 and divide it by 2:

440,365,435 ÷ 2 = 220,182,717.5

If the quotient is a whole number, then 2 and 220,182,717.5 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:

1 440,365,435
-1 -440,365,435

Now, we try dividing 440,365,435 by 3:

440,365,435 ÷ 3 = 146,788,478.3333

If the quotient is a whole number, then 3 and 146,788,478.3333 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:

1 440,365,435
-1 -440,365,435

Let's try dividing by 4:

440,365,435 ÷ 4 = 110,091,358.75

If the quotient is a whole number, then 4 and 110,091,358.75 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:

1 440,365,435
-1 440,365,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15291456313,1554,81318,29924,06591,495139,577697,8853,037,00315,185,01588,073,087440,365,435
-1-5-29-145-631-3,155-4,813-18,299-24,065-91,495-139,577-697,885-3,037,003-15,185,015-88,073,087-440,365,435

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