Q: What are the factor combinations of the number 24,477,355?

 A:
Positive:   1 x 244773555 x 48954717 x 349676535 x 699353179 x 136745895 x 273491253 x 195353907 x 6265
Negative: -1 x -24477355-5 x -4895471-7 x -3496765-35 x -699353-179 x -136745-895 x -27349-1253 x -19535-3907 x -6265


How do I find the factor combinations of the number 24,477,355?

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 24,477,355, 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 24,477,355
-1 -24,477,355

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 24,477,355.

Example:
1 x 24,477,355 = 24,477,355
and
-1 x -24,477,355 = 24,477,355
Notice both answers equal 24,477,355

With that explanation out of the way, let's continue. Next, we take the number 24,477,355 and divide it by 2:

24,477,355 ÷ 2 = 12,238,677.5

If the quotient is a whole number, then 2 and 12,238,677.5 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 24,477,355
-1 -24,477,355

Now, we try dividing 24,477,355 by 3:

24,477,355 ÷ 3 = 8,159,118.3333

If the quotient is a whole number, then 3 and 8,159,118.3333 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 24,477,355
-1 -24,477,355

Let's try dividing by 4:

24,477,355 ÷ 4 = 6,119,338.75

If the quotient is a whole number, then 4 and 6,119,338.75 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 24,477,355
-1 24,477,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157351798951,2533,9076,26519,53527,349136,745699,3533,496,7654,895,47124,477,355
-1-5-7-35-179-895-1,253-3,907-6,265-19,535-27,349-136,745-699,353-3,496,765-4,895,471-24,477,355

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