Q: What are the factor combinations of the number 24,052,745?

 A:
Positive:   1 x 240527455 x 481054929 x 82940531 x 775895145 x 165881155 x 155179899 x 267554495 x 5351
Negative: -1 x -24052745-5 x -4810549-29 x -829405-31 x -775895-145 x -165881-155 x -155179-899 x -26755-4495 x -5351


How do I find the factor combinations of the number 24,052,745?

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 24,052,745, 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 24,052,745
-1 -24,052,745

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 24,052,745.

Example:
1 x 24,052,745 = 24,052,745
and
-1 x -24,052,745 = 24,052,745
Notice both answers equal 24,052,745

With that explanation out of the way, let's continue. Next, we take the number 24,052,745 and divide it by 2:

24,052,745 ÷ 2 = 12,026,372.5

If the quotient is a whole number, then 2 and 12,026,372.5 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 24,052,745
-1 -24,052,745

Now, we try dividing 24,052,745 by 3:

24,052,745 ÷ 3 = 8,017,581.6667

If the quotient is a whole number, then 3 and 8,017,581.6667 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 24,052,745
-1 -24,052,745

Let's try dividing by 4:

24,052,745 ÷ 4 = 6,013,186.25

If the quotient is a whole number, then 4 and 6,013,186.25 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 24,052,745
-1 24,052,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1529311451558994,4955,35126,755155,179165,881775,895829,4054,810,54924,052,745
-1-5-29-31-145-155-899-4,495-5,351-26,755-155,179-165,881-775,895-829,405-4,810,549-24,052,745

More Examples

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