Q: What are the factor combinations of the number 24,561,475?

 A:
Positive:   1 x 245614755 x 491229525 x 982459367 x 669251835 x 133852677 x 9175
Negative: -1 x -24561475-5 x -4912295-25 x -982459-367 x -66925-1835 x -13385-2677 x -9175


How do I find the factor combinations of the number 24,561,475?

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 24,561,475, 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 24,561,475
-1 -24,561,475

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 24,561,475.

Example:
1 x 24,561,475 = 24,561,475
and
-1 x -24,561,475 = 24,561,475
Notice both answers equal 24,561,475

With that explanation out of the way, let's continue. Next, we take the number 24,561,475 and divide it by 2:

24,561,475 ÷ 2 = 12,280,737.5

If the quotient is a whole number, then 2 and 12,280,737.5 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 24,561,475
-1 -24,561,475

Now, we try dividing 24,561,475 by 3:

24,561,475 ÷ 3 = 8,187,158.3333

If the quotient is a whole number, then 3 and 8,187,158.3333 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 24,561,475
-1 -24,561,475

Let's try dividing by 4:

24,561,475 ÷ 4 = 6,140,368.75

If the quotient is a whole number, then 4 and 6,140,368.75 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 24,561,475
-1 24,561,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15253671,8352,6779,17513,38566,925982,4594,912,29524,561,475
-1-5-25-367-1,835-2,677-9,175-13,385-66,925-982,459-4,912,295-24,561,475

More Examples

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