Q: What are the factor combinations of the number 724,578,745?

 A:
Positive:   1 x 7245787455 x 14491574911 x 6587079555 x 13174159293 x 24729651465 x 4945933223 x 22481516115 x 44963
Negative: -1 x -724578745-5 x -144915749-11 x -65870795-55 x -13174159-293 x -2472965-1465 x -494593-3223 x -224815-16115 x -44963


How do I find the factor combinations of the number 724,578,745?

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 724,578,745, 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.

1 724,578,745
-1 -724,578,745

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 724,578,745.

Example:
1 x 724,578,745 = 724,578,745
and
-1 x -724,578,745 = 724,578,745
Notice both answers equal 724,578,745

With that explanation out of the way, let's continue. Next, we take the number 724,578,745 and divide it by 2:

724,578,745 ÷ 2 = 362,289,372.5

If the quotient is a whole number, then 2 and 362,289,372.5 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:

1 724,578,745
-1 -724,578,745

Now, we try dividing 724,578,745 by 3:

724,578,745 ÷ 3 = 241,526,248.3333

If the quotient is a whole number, then 3 and 241,526,248.3333 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:

1 724,578,745
-1 -724,578,745

Let's try dividing by 4:

724,578,745 ÷ 4 = 181,144,686.25

If the quotient is a whole number, then 4 and 181,144,686.25 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:

1 724,578,745
-1 724,578,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552931,4653,22316,11544,963224,815494,5932,472,96513,174,15965,870,795144,915,749724,578,745
-1-5-11-55-293-1,465-3,223-16,115-44,963-224,815-494,593-2,472,965-13,174,159-65,870,795-144,915,749-724,578,745

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