Q: What are the factor combinations of the number 720,052,157?

 A:
Positive:   1 x 72005215711 x 6545928743 x 16745399473 x 15223091181 x 6096971289 x 55861312991 x 5542714179 x 50783
Negative: -1 x -720052157-11 x -65459287-43 x -16745399-473 x -1522309-1181 x -609697-1289 x -558613-12991 x -55427-14179 x -50783


How do I find the factor combinations of the number 720,052,157?

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 720,052,157, 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.

1 720,052,157
-1 -720,052,157

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 720,052,157.

Example:
1 x 720,052,157 = 720,052,157
and
-1 x -720,052,157 = 720,052,157
Notice both answers equal 720,052,157

With that explanation out of the way, let's continue. Next, we take the number 720,052,157 and divide it by 2:

720,052,157 ÷ 2 = 360,026,078.5

If the quotient is a whole number, then 2 and 360,026,078.5 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:

1 720,052,157
-1 -720,052,157

Now, we try dividing 720,052,157 by 3:

720,052,157 ÷ 3 = 240,017,385.6667

If the quotient is a whole number, then 3 and 240,017,385.6667 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:

1 720,052,157
-1 -720,052,157

Let's try dividing by 4:

720,052,157 ÷ 4 = 180,013,039.25

If the quotient is a whole number, then 4 and 180,013,039.25 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:

1 720,052,157
-1 720,052,157
Keep dividing by the next highest number until you cannot divide anymore.

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

111434731,1811,28912,99114,17950,78355,427558,613609,6971,522,30916,745,39965,459,287720,052,157
-1-11-43-473-1,181-1,289-12,991-14,179-50,783-55,427-558,613-609,697-1,522,309-16,745,399-65,459,287-720,052,157

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