Q: What are the factor combinations of the number 24,205,525?

 A:
Positive:   1 x 242055255 x 484110519 x 127397525 x 96822195 x 254795131 x 184775389 x 62225475 x 50959655 x 369551945 x 124452489 x 97253275 x 7391
Negative: -1 x -24205525-5 x -4841105-19 x -1273975-25 x -968221-95 x -254795-131 x -184775-389 x -62225-475 x -50959-655 x -36955-1945 x -12445-2489 x -9725-3275 x -7391


How do I find the factor combinations of the number 24,205,525?

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 24,205,525, 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 24,205,525
-1 -24,205,525

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 24,205,525.

Example:
1 x 24,205,525 = 24,205,525
and
-1 x -24,205,525 = 24,205,525
Notice both answers equal 24,205,525

With that explanation out of the way, let's continue. Next, we take the number 24,205,525 and divide it by 2:

24,205,525 ÷ 2 = 12,102,762.5

If the quotient is a whole number, then 2 and 12,102,762.5 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 24,205,525
-1 -24,205,525

Now, we try dividing 24,205,525 by 3:

24,205,525 ÷ 3 = 8,068,508.3333

If the quotient is a whole number, then 3 and 8,068,508.3333 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 24,205,525
-1 -24,205,525

Let's try dividing by 4:

24,205,525 ÷ 4 = 6,051,381.25

If the quotient is a whole number, then 4 and 6,051,381.25 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 24,205,525
-1 24,205,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951313894756551,9452,4893,2757,3919,72512,44536,95550,95962,225184,775254,795968,2211,273,9754,841,10524,205,525
-1-5-19-25-95-131-389-475-655-1,945-2,489-3,275-7,391-9,725-12,445-36,955-50,959-62,225-184,775-254,795-968,221-1,273,975-4,841,105-24,205,525

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