Q: What are the factor combinations of the number 24,162,355?

 A:
Positive:   1 x 241623555 x 48324717 x 345176517 x 142131535 x 69035385 x 284263119 x 203045595 x 40609
Negative: -1 x -24162355-5 x -4832471-7 x -3451765-17 x -1421315-35 x -690353-85 x -284263-119 x -203045-595 x -40609


How do I find the factor combinations of the number 24,162,355?

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 24,162,355, 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 24,162,355
-1 -24,162,355

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 24,162,355.

Example:
1 x 24,162,355 = 24,162,355
and
-1 x -24,162,355 = 24,162,355
Notice both answers equal 24,162,355

With that explanation out of the way, let's continue. Next, we take the number 24,162,355 and divide it by 2:

24,162,355 ÷ 2 = 12,081,177.5

If the quotient is a whole number, then 2 and 12,081,177.5 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 24,162,355
-1 -24,162,355

Now, we try dividing 24,162,355 by 3:

24,162,355 ÷ 3 = 8,054,118.3333

If the quotient is a whole number, then 3 and 8,054,118.3333 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 24,162,355
-1 -24,162,355

Let's try dividing by 4:

24,162,355 ÷ 4 = 6,040,588.75

If the quotient is a whole number, then 4 and 6,040,588.75 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 24,162,355
-1 24,162,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959540,609203,045284,263690,3531,421,3153,451,7654,832,47124,162,355
-1-5-7-17-35-85-119-595-40,609-203,045-284,263-690,353-1,421,315-3,451,765-4,832,471-24,162,355

More Examples

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