Q: What are the factor combinations of the number 24,572,485?

 A:
Positive:   1 x 245724855 x 49144977 x 351035535 x 702071367 x 669551835 x 133911913 x 128452569 x 9565
Negative: -1 x -24572485-5 x -4914497-7 x -3510355-35 x -702071-367 x -66955-1835 x -13391-1913 x -12845-2569 x -9565


How do I find the factor combinations of the number 24,572,485?

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 24,572,485, 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 24,572,485
-1 -24,572,485

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 24,572,485.

Example:
1 x 24,572,485 = 24,572,485
and
-1 x -24,572,485 = 24,572,485
Notice both answers equal 24,572,485

With that explanation out of the way, let's continue. Next, we take the number 24,572,485 and divide it by 2:

24,572,485 ÷ 2 = 12,286,242.5

If the quotient is a whole number, then 2 and 12,286,242.5 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 24,572,485
-1 -24,572,485

Now, we try dividing 24,572,485 by 3:

24,572,485 ÷ 3 = 8,190,828.3333

If the quotient is a whole number, then 3 and 8,190,828.3333 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 24,572,485
-1 -24,572,485

Let's try dividing by 4:

24,572,485 ÷ 4 = 6,143,121.25

If the quotient is a whole number, then 4 and 6,143,121.25 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 24,572,485
-1 24,572,485
Keep dividing by the next highest number until you cannot divide anymore.

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

157353671,8351,9132,5699,56512,84513,39166,955702,0713,510,3554,914,49724,572,485
-1-5-7-35-367-1,835-1,913-2,569-9,565-12,845-13,391-66,955-702,071-3,510,355-4,914,497-24,572,485

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