Q: What are the factor combinations of the number 703,700,431?

 A:
Positive:   1 x 7037004317 x 10052863317 x 41394143101 x 6967331119 x 5913449707 x 9953331717 x 40984312019 x 58549
Negative: -1 x -703700431-7 x -100528633-17 x -41394143-101 x -6967331-119 x -5913449-707 x -995333-1717 x -409843-12019 x -58549


How do I find the factor combinations of the number 703,700,431?

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 703,700,431, 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.

1 703,700,431
-1 -703,700,431

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 703,700,431.

Example:
1 x 703,700,431 = 703,700,431
and
-1 x -703,700,431 = 703,700,431
Notice both answers equal 703,700,431

With that explanation out of the way, let's continue. Next, we take the number 703,700,431 and divide it by 2:

703,700,431 ÷ 2 = 351,850,215.5

If the quotient is a whole number, then 2 and 351,850,215.5 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:

1 703,700,431
-1 -703,700,431

Now, we try dividing 703,700,431 by 3:

703,700,431 ÷ 3 = 234,566,810.3333

If the quotient is a whole number, then 3 and 234,566,810.3333 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:

1 703,700,431
-1 -703,700,431

Let's try dividing by 4:

703,700,431 ÷ 4 = 175,925,107.75

If the quotient is a whole number, then 4 and 175,925,107.75 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:

1 703,700,431
-1 703,700,431
Keep dividing by the next highest number until you cannot divide anymore.

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

17171011197071,71712,01958,549409,843995,3335,913,4496,967,33141,394,143100,528,633703,700,431
-1-7-17-101-119-707-1,717-12,019-58,549-409,843-995,333-5,913,449-6,967,331-41,394,143-100,528,633-703,700,431

More Examples

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