Q: What are the factor combinations of the number 24,035,533?

 A:
Positive:   1 x 2403553337 x 64960997 x 247789181 x 1327931369 x 175573589 x 6697
Negative: -1 x -24035533-37 x -649609-97 x -247789-181 x -132793-1369 x -17557-3589 x -6697


How do I find the factor combinations of the number 24,035,533?

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 24,035,533, 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 24,035,533
-1 -24,035,533

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 24,035,533.

Example:
1 x 24,035,533 = 24,035,533
and
-1 x -24,035,533 = 24,035,533
Notice both answers equal 24,035,533

With that explanation out of the way, let's continue. Next, we take the number 24,035,533 and divide it by 2:

24,035,533 ÷ 2 = 12,017,766.5

If the quotient is a whole number, then 2 and 12,017,766.5 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 24,035,533
-1 -24,035,533

Now, we try dividing 24,035,533 by 3:

24,035,533 ÷ 3 = 8,011,844.3333

If the quotient is a whole number, then 3 and 8,011,844.3333 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 24,035,533
-1 -24,035,533

Let's try dividing by 4:

24,035,533 ÷ 4 = 6,008,883.25

If the quotient is a whole number, then 4 and 6,008,883.25 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 24,035,533
-1 24,035,533
Keep dividing by the next highest number until you cannot divide anymore.

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

137971811,3693,5896,69717,557132,793247,789649,60924,035,533
-1-37-97-181-1,369-3,589-6,697-17,557-132,793-247,789-649,609-24,035,533

More Examples

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