Q: What are the factor combinations of the number 700,524,643?

 A:
Positive:   1 x 7005246437 x 10007494913 x 5388651191 x 7698073499 x 14038573493 x 2005516487 x 10798915427 x 45409
Negative: -1 x -700524643-7 x -100074949-13 x -53886511-91 x -7698073-499 x -1403857-3493 x -200551-6487 x -107989-15427 x -45409


How do I find the factor combinations of the number 700,524,643?

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 700,524,643, 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.

1 700,524,643
-1 -700,524,643

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 700,524,643.

Example:
1 x 700,524,643 = 700,524,643
and
-1 x -700,524,643 = 700,524,643
Notice both answers equal 700,524,643

With that explanation out of the way, let's continue. Next, we take the number 700,524,643 and divide it by 2:

700,524,643 ÷ 2 = 350,262,321.5

If the quotient is a whole number, then 2 and 350,262,321.5 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:

1 700,524,643
-1 -700,524,643

Now, we try dividing 700,524,643 by 3:

700,524,643 ÷ 3 = 233,508,214.3333

If the quotient is a whole number, then 3 and 233,508,214.3333 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:

1 700,524,643
-1 -700,524,643

Let's try dividing by 4:

700,524,643 ÷ 4 = 175,131,160.75

If the quotient is a whole number, then 4 and 175,131,160.75 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:

1 700,524,643
-1 700,524,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1713914993,4936,48715,42745,409107,989200,5511,403,8577,698,07353,886,511100,074,949700,524,643
-1-7-13-91-499-3,493-6,487-15,427-45,409-107,989-200,551-1,403,857-7,698,073-53,886,511-100,074,949-700,524,643

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