Q: What are the factor combinations of the number 741,374,543?

 A:
Positive:   1 x 7413745437 x 10591064913 x 5702881191 x 8146973587 x 12629894109 x 1804277631 x 9715313879 x 53417
Negative: -1 x -741374543-7 x -105910649-13 x -57028811-91 x -8146973-587 x -1262989-4109 x -180427-7631 x -97153-13879 x -53417


How do I find the factor combinations of the number 741,374,543?

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 741,374,543, 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.

1 741,374,543
-1 -741,374,543

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 741,374,543.

Example:
1 x 741,374,543 = 741,374,543
and
-1 x -741,374,543 = 741,374,543
Notice both answers equal 741,374,543

With that explanation out of the way, let's continue. Next, we take the number 741,374,543 and divide it by 2:

741,374,543 ÷ 2 = 370,687,271.5

If the quotient is a whole number, then 2 and 370,687,271.5 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:

1 741,374,543
-1 -741,374,543

Now, we try dividing 741,374,543 by 3:

741,374,543 ÷ 3 = 247,124,847.6667

If the quotient is a whole number, then 3 and 247,124,847.6667 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:

1 741,374,543
-1 -741,374,543

Let's try dividing by 4:

741,374,543 ÷ 4 = 185,343,635.75

If the quotient is a whole number, then 4 and 185,343,635.75 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:

1 741,374,543
-1 741,374,543
Keep dividing by the next highest number until you cannot divide anymore.

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

1713915874,1097,63113,87953,41797,153180,4271,262,9898,146,97357,028,811105,910,649741,374,543
-1-7-13-91-587-4,109-7,631-13,879-53,417-97,153-180,427-1,262,989-8,146,973-57,028,811-105,910,649-741,374,543

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