Q: What are the factor combinations of the number 23,400,355?

 A:
Positive:   1 x 234003555 x 468007111 x 212730555 x 425461401 x 583551061 x 220552005 x 116714411 x 5305
Negative: -1 x -23400355-5 x -4680071-11 x -2127305-55 x -425461-401 x -58355-1061 x -22055-2005 x -11671-4411 x -5305


How do I find the factor combinations of the number 23,400,355?

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 23,400,355, 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 23,400,355
-1 -23,400,355

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 23,400,355.

Example:
1 x 23,400,355 = 23,400,355
and
-1 x -23,400,355 = 23,400,355
Notice both answers equal 23,400,355

With that explanation out of the way, let's continue. Next, we take the number 23,400,355 and divide it by 2:

23,400,355 ÷ 2 = 11,700,177.5

If the quotient is a whole number, then 2 and 11,700,177.5 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 23,400,355
-1 -23,400,355

Now, we try dividing 23,400,355 by 3:

23,400,355 ÷ 3 = 7,800,118.3333

If the quotient is a whole number, then 3 and 7,800,118.3333 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 23,400,355
-1 -23,400,355

Let's try dividing by 4:

23,400,355 ÷ 4 = 5,850,088.75

If the quotient is a whole number, then 4 and 5,850,088.75 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 23,400,355
-1 23,400,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554011,0612,0054,4115,30511,67122,05558,355425,4612,127,3054,680,07123,400,355
-1-5-11-55-401-1,061-2,005-4,411-5,305-11,671-22,055-58,355-425,461-2,127,305-4,680,071-23,400,355

More Examples

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