Q: What are the factor combinations of the number 80,141,435?

 A:
Positive:   1 x 801414355 x 1602828711 x 728558555 x 1457117157 x 510455785 x 1020911727 x 464058635 x 9281
Negative: -1 x -80141435-5 x -16028287-11 x -7285585-55 x -1457117-157 x -510455-785 x -102091-1727 x -46405-8635 x -9281


How do I find the factor combinations of the number 80,141,435?

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 80,141,435, 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 80,141,435
-1 -80,141,435

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 80,141,435.

Example:
1 x 80,141,435 = 80,141,435
and
-1 x -80,141,435 = 80,141,435
Notice both answers equal 80,141,435

With that explanation out of the way, let's continue. Next, we take the number 80,141,435 and divide it by 2:

80,141,435 ÷ 2 = 40,070,717.5

If the quotient is a whole number, then 2 and 40,070,717.5 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 80,141,435
-1 -80,141,435

Now, we try dividing 80,141,435 by 3:

80,141,435 ÷ 3 = 26,713,811.6667

If the quotient is a whole number, then 3 and 26,713,811.6667 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 80,141,435
-1 -80,141,435

Let's try dividing by 4:

80,141,435 ÷ 4 = 20,035,358.75

If the quotient is a whole number, then 4 and 20,035,358.75 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 80,141,435
-1 80,141,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551577851,7278,6359,28146,405102,091510,4551,457,1177,285,58516,028,28780,141,435
-1-5-11-55-157-785-1,727-8,635-9,281-46,405-102,091-510,455-1,457,117-7,285,585-16,028,287-80,141,435

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