Q: What are the factor combinations of the number 514,315,745?

 A:
Positive:   1 x 5143157455 x 102863149167 x 3079735743 x 692215829 x 620405835 x 6159473715 x 1384434145 x 124081
Negative: -1 x -514315745-5 x -102863149-167 x -3079735-743 x -692215-829 x -620405-835 x -615947-3715 x -138443-4145 x -124081


How do I find the factor combinations of the number 514,315,745?

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 514,315,745, 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.

1 514,315,745
-1 -514,315,745

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 514,315,745.

Example:
1 x 514,315,745 = 514,315,745
and
-1 x -514,315,745 = 514,315,745
Notice both answers equal 514,315,745

With that explanation out of the way, let's continue. Next, we take the number 514,315,745 and divide it by 2:

514,315,745 ÷ 2 = 257,157,872.5

If the quotient is a whole number, then 2 and 257,157,872.5 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:

1 514,315,745
-1 -514,315,745

Now, we try dividing 514,315,745 by 3:

514,315,745 ÷ 3 = 171,438,581.6667

If the quotient is a whole number, then 3 and 171,438,581.6667 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:

1 514,315,745
-1 -514,315,745

Let's try dividing by 4:

514,315,745 ÷ 4 = 128,578,936.25

If the quotient is a whole number, then 4 and 128,578,936.25 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:

1 514,315,745
-1 514,315,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151677438298353,7154,145124,081138,443615,947620,405692,2153,079,735102,863,149514,315,745
-1-5-167-743-829-835-3,715-4,145-124,081-138,443-615,947-620,405-692,215-3,079,735-102,863,149-514,315,745

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