Q: What are the factor combinations of the number 70,760,765?

 A:
Positive:   1 x 707607655 x 1415215323 x 307655559 x 1199335115 x 615311295 x 2398671357 x 521456785 x 10429
Negative: -1 x -70760765-5 x -14152153-23 x -3076555-59 x -1199335-115 x -615311-295 x -239867-1357 x -52145-6785 x -10429


How do I find the factor combinations of the number 70,760,765?

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 70,760,765, 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 70,760,765
-1 -70,760,765

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 70,760,765.

Example:
1 x 70,760,765 = 70,760,765
and
-1 x -70,760,765 = 70,760,765
Notice both answers equal 70,760,765

With that explanation out of the way, let's continue. Next, we take the number 70,760,765 and divide it by 2:

70,760,765 ÷ 2 = 35,380,382.5

If the quotient is a whole number, then 2 and 35,380,382.5 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 70,760,765
-1 -70,760,765

Now, we try dividing 70,760,765 by 3:

70,760,765 ÷ 3 = 23,586,921.6667

If the quotient is a whole number, then 3 and 23,586,921.6667 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 70,760,765
-1 -70,760,765

Let's try dividing by 4:

70,760,765 ÷ 4 = 17,690,191.25

If the quotient is a whole number, then 4 and 17,690,191.25 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 70,760,765
-1 70,760,765
Keep dividing by the next highest number until you cannot divide anymore.

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

1523591152951,3576,78510,42952,145239,867615,3111,199,3353,076,55514,152,15370,760,765
-1-5-23-59-115-295-1,357-6,785-10,429-52,145-239,867-615,311-1,199,335-3,076,555-14,152,153-70,760,765

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