Q: What are the factor combinations of the number 353,077,435?

 A:
Positive:   1 x 3530774355 x 7061548783 x 4253945415 x 850789487 x 7250051747 x 2021052435 x 1450018735 x 40421
Negative: -1 x -353077435-5 x -70615487-83 x -4253945-415 x -850789-487 x -725005-1747 x -202105-2435 x -145001-8735 x -40421


How do I find the factor combinations of the number 353,077,435?

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 353,077,435, 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.

1 353,077,435
-1 -353,077,435

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 353,077,435.

Example:
1 x 353,077,435 = 353,077,435
and
-1 x -353,077,435 = 353,077,435
Notice both answers equal 353,077,435

With that explanation out of the way, let's continue. Next, we take the number 353,077,435 and divide it by 2:

353,077,435 ÷ 2 = 176,538,717.5

If the quotient is a whole number, then 2 and 176,538,717.5 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:

1 353,077,435
-1 -353,077,435

Now, we try dividing 353,077,435 by 3:

353,077,435 ÷ 3 = 117,692,478.3333

If the quotient is a whole number, then 3 and 117,692,478.3333 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:

1 353,077,435
-1 -353,077,435

Let's try dividing by 4:

353,077,435 ÷ 4 = 88,269,358.75

If the quotient is a whole number, then 4 and 88,269,358.75 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:

1 353,077,435
-1 353,077,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15834154871,7472,4358,73540,421145,001202,105725,005850,7894,253,94570,615,487353,077,435
-1-5-83-415-487-1,747-2,435-8,735-40,421-145,001-202,105-725,005-850,789-4,253,945-70,615,487-353,077,435

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