Q: What are the factor combinations of the number 738,328,549?

 A:
Positive:   1 x 7383285497 x 10547550779 x 9345931163 x 4529623553 x 13351331141 x 6470898191 x 9013912877 x 57337
Negative: -1 x -738328549-7 x -105475507-79 x -9345931-163 x -4529623-553 x -1335133-1141 x -647089-8191 x -90139-12877 x -57337


How do I find the factor combinations of the number 738,328,549?

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 738,328,549, 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.

1 738,328,549
-1 -738,328,549

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 738,328,549.

Example:
1 x 738,328,549 = 738,328,549
and
-1 x -738,328,549 = 738,328,549
Notice both answers equal 738,328,549

With that explanation out of the way, let's continue. Next, we take the number 738,328,549 and divide it by 2:

738,328,549 ÷ 2 = 369,164,274.5

If the quotient is a whole number, then 2 and 369,164,274.5 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:

1 738,328,549
-1 -738,328,549

Now, we try dividing 738,328,549 by 3:

738,328,549 ÷ 3 = 246,109,516.3333

If the quotient is a whole number, then 3 and 246,109,516.3333 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:

1 738,328,549
-1 -738,328,549

Let's try dividing by 4:

738,328,549 ÷ 4 = 184,582,137.25

If the quotient is a whole number, then 4 and 184,582,137.25 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:

1 738,328,549
-1 738,328,549
Keep dividing by the next highest number until you cannot divide anymore.

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

17791635531,1418,19112,87757,33790,139647,0891,335,1334,529,6239,345,931105,475,507738,328,549
-1-7-79-163-553-1,141-8,191-12,877-57,337-90,139-647,089-1,335,133-4,529,623-9,345,931-105,475,507-738,328,549

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