Q: What are the factor combinations of the number 701,642,875?

 A:
Positive:   1 x 7016428755 x 14032857525 x 28065715125 x 56131432089 x 3358752687 x 26112510445 x 6717513435 x 52225
Negative: -1 x -701642875-5 x -140328575-25 x -28065715-125 x -5613143-2089 x -335875-2687 x -261125-10445 x -67175-13435 x -52225


How do I find the factor combinations of the number 701,642,875?

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 701,642,875, 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.

1 701,642,875
-1 -701,642,875

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 701,642,875.

Example:
1 x 701,642,875 = 701,642,875
and
-1 x -701,642,875 = 701,642,875
Notice both answers equal 701,642,875

With that explanation out of the way, let's continue. Next, we take the number 701,642,875 and divide it by 2:

701,642,875 ÷ 2 = 350,821,437.5

If the quotient is a whole number, then 2 and 350,821,437.5 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:

1 701,642,875
-1 -701,642,875

Now, we try dividing 701,642,875 by 3:

701,642,875 ÷ 3 = 233,880,958.3333

If the quotient is a whole number, then 3 and 233,880,958.3333 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:

1 701,642,875
-1 -701,642,875

Let's try dividing by 4:

701,642,875 ÷ 4 = 175,410,718.75

If the quotient is a whole number, then 4 and 175,410,718.75 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:

1 701,642,875
-1 701,642,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252,0892,68710,44513,43552,22567,175261,125335,8755,613,14328,065,715140,328,575701,642,875
-1-5-25-125-2,089-2,687-10,445-13,435-52,225-67,175-261,125-335,875-5,613,143-28,065,715-140,328,575-701,642,875

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