Q: What are the factor combinations of the number 24,536,035?

 A:
Positive:   1 x 245360355 x 490720731 x 79148559 x 415865155 x 158297295 x 831731829 x 134152683 x 9145
Negative: -1 x -24536035-5 x -4907207-31 x -791485-59 x -415865-155 x -158297-295 x -83173-1829 x -13415-2683 x -9145


How do I find the factor combinations of the number 24,536,035?

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 24,536,035, 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 24,536,035
-1 -24,536,035

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 24,536,035.

Example:
1 x 24,536,035 = 24,536,035
and
-1 x -24,536,035 = 24,536,035
Notice both answers equal 24,536,035

With that explanation out of the way, let's continue. Next, we take the number 24,536,035 and divide it by 2:

24,536,035 ÷ 2 = 12,268,017.5

If the quotient is a whole number, then 2 and 12,268,017.5 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 24,536,035
-1 -24,536,035

Now, we try dividing 24,536,035 by 3:

24,536,035 ÷ 3 = 8,178,678.3333

If the quotient is a whole number, then 3 and 8,178,678.3333 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 24,536,035
-1 -24,536,035

Let's try dividing by 4:

24,536,035 ÷ 4 = 6,134,008.75

If the quotient is a whole number, then 4 and 6,134,008.75 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 24,536,035
-1 24,536,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1531591552951,8292,6839,14513,41583,173158,297415,865791,4854,907,20724,536,035
-1-5-31-59-155-295-1,829-2,683-9,145-13,415-83,173-158,297-415,865-791,485-4,907,207-24,536,035

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