Q: What are the factor combinations of the number 721,343,371?

 A:
Positive:   1 x 7213433717 x 10304905317 x 4243196331 x 23269141119 x 6061709217 x 3324163527 x 13687733689 x 195539
Negative: -1 x -721343371-7 x -103049053-17 x -42431963-31 x -23269141-119 x -6061709-217 x -3324163-527 x -1368773-3689 x -195539


How do I find the factor combinations of the number 721,343,371?

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 721,343,371, 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.

1 721,343,371
-1 -721,343,371

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 721,343,371.

Example:
1 x 721,343,371 = 721,343,371
and
-1 x -721,343,371 = 721,343,371
Notice both answers equal 721,343,371

With that explanation out of the way, let's continue. Next, we take the number 721,343,371 and divide it by 2:

721,343,371 ÷ 2 = 360,671,685.5

If the quotient is a whole number, then 2 and 360,671,685.5 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:

1 721,343,371
-1 -721,343,371

Now, we try dividing 721,343,371 by 3:

721,343,371 ÷ 3 = 240,447,790.3333

If the quotient is a whole number, then 3 and 240,447,790.3333 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:

1 721,343,371
-1 -721,343,371

Let's try dividing by 4:

721,343,371 ÷ 4 = 180,335,842.75

If the quotient is a whole number, then 4 and 180,335,842.75 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:

1 721,343,371
-1 721,343,371
Keep dividing by the next highest number until you cannot divide anymore.

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

1717311192175273,689195,5391,368,7733,324,1636,061,70923,269,14142,431,963103,049,053721,343,371
-1-7-17-31-119-217-527-3,689-195,539-1,368,773-3,324,163-6,061,709-23,269,141-42,431,963-103,049,053-721,343,371

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