Q: What are the factor combinations of the number 340,034,443?

 A:
Positive:   1 x 3400344437 x 4857634931 x 1096885341 x 8293523217 x 1566979287 x 11847891271 x 2675338897 x 38219
Negative: -1 x -340034443-7 x -48576349-31 x -10968853-41 x -8293523-217 x -1566979-287 x -1184789-1271 x -267533-8897 x -38219


How do I find the factor combinations of the number 340,034,443?

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 340,034,443, 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.

1 340,034,443
-1 -340,034,443

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 340,034,443.

Example:
1 x 340,034,443 = 340,034,443
and
-1 x -340,034,443 = 340,034,443
Notice both answers equal 340,034,443

With that explanation out of the way, let's continue. Next, we take the number 340,034,443 and divide it by 2:

340,034,443 ÷ 2 = 170,017,221.5

If the quotient is a whole number, then 2 and 170,017,221.5 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:

1 340,034,443
-1 -340,034,443

Now, we try dividing 340,034,443 by 3:

340,034,443 ÷ 3 = 113,344,814.3333

If the quotient is a whole number, then 3 and 113,344,814.3333 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:

1 340,034,443
-1 -340,034,443

Let's try dividing by 4:

340,034,443 ÷ 4 = 85,008,610.75

If the quotient is a whole number, then 4 and 85,008,610.75 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:

1 340,034,443
-1 340,034,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1731412172871,2718,89738,219267,5331,184,7891,566,9798,293,52310,968,85348,576,349340,034,443
-1-7-31-41-217-287-1,271-8,897-38,219-267,533-1,184,789-1,566,979-8,293,523-10,968,853-48,576,349-340,034,443

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