Q: What are the factor combinations of the number 341,210,023?

 A:
Positive:   1 x 3412100237 x 4874428911 x 3101909377 x 4431299239 x 14276571673 x 2039512629 x 12978718403 x 18541
Negative: -1 x -341210023-7 x -48744289-11 x -31019093-77 x -4431299-239 x -1427657-1673 x -203951-2629 x -129787-18403 x -18541


How do I find the factor combinations of the number 341,210,023?

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 341,210,023, 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.

1 341,210,023
-1 -341,210,023

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 341,210,023.

Example:
1 x 341,210,023 = 341,210,023
and
-1 x -341,210,023 = 341,210,023
Notice both answers equal 341,210,023

With that explanation out of the way, let's continue. Next, we take the number 341,210,023 and divide it by 2:

341,210,023 ÷ 2 = 170,605,011.5

If the quotient is a whole number, then 2 and 170,605,011.5 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:

1 341,210,023
-1 -341,210,023

Now, we try dividing 341,210,023 by 3:

341,210,023 ÷ 3 = 113,736,674.3333

If the quotient is a whole number, then 3 and 113,736,674.3333 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:

1 341,210,023
-1 -341,210,023

Let's try dividing by 4:

341,210,023 ÷ 4 = 85,302,505.75

If the quotient is a whole number, then 4 and 85,302,505.75 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:

1 341,210,023
-1 341,210,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772391,6732,62918,40318,541129,787203,9511,427,6574,431,29931,019,09348,744,289341,210,023
-1-7-11-77-239-1,673-2,629-18,403-18,541-129,787-203,951-1,427,657-4,431,299-31,019,093-48,744,289-341,210,023

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