Q: What are the factor combinations of the number 343,665,731?

 A:
Positive:   1 x 34366573137 x 928826341 x 8382091101 x 34026311517 x 2265432243 x 1532173737 x 919634141 x 82991
Negative: -1 x -343665731-37 x -9288263-41 x -8382091-101 x -3402631-1517 x -226543-2243 x -153217-3737 x -91963-4141 x -82991


How do I find the factor combinations of the number 343,665,731?

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 343,665,731, 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.

1 343,665,731
-1 -343,665,731

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 343,665,731.

Example:
1 x 343,665,731 = 343,665,731
and
-1 x -343,665,731 = 343,665,731
Notice both answers equal 343,665,731

With that explanation out of the way, let's continue. Next, we take the number 343,665,731 and divide it by 2:

343,665,731 ÷ 2 = 171,832,865.5

If the quotient is a whole number, then 2 and 171,832,865.5 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:

1 343,665,731
-1 -343,665,731

Now, we try dividing 343,665,731 by 3:

343,665,731 ÷ 3 = 114,555,243.6667

If the quotient is a whole number, then 3 and 114,555,243.6667 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:

1 343,665,731
-1 -343,665,731

Let's try dividing by 4:

343,665,731 ÷ 4 = 85,916,432.75

If the quotient is a whole number, then 4 and 85,916,432.75 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:

1 343,665,731
-1 343,665,731
Keep dividing by the next highest number until you cannot divide anymore.

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

137411011,5172,2433,7374,14182,99191,963153,217226,5433,402,6318,382,0919,288,263343,665,731
-1-37-41-101-1,517-2,243-3,737-4,141-82,991-91,963-153,217-226,543-3,402,631-8,382,091-9,288,263-343,665,731

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