Q: What are the factor combinations of the number 54,245,765?

 A:
Positive:   1 x 542457655 x 108491537 x 774939535 x 154987953 x 1023505265 x 204701371 x 1462151855 x 29243
Negative: -1 x -54245765-5 x -10849153-7 x -7749395-35 x -1549879-53 x -1023505-265 x -204701-371 x -146215-1855 x -29243


How do I find the factor combinations of the number 54,245,765?

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 54,245,765, 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 54,245,765
-1 -54,245,765

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 54,245,765.

Example:
1 x 54,245,765 = 54,245,765
and
-1 x -54,245,765 = 54,245,765
Notice both answers equal 54,245,765

With that explanation out of the way, let's continue. Next, we take the number 54,245,765 and divide it by 2:

54,245,765 ÷ 2 = 27,122,882.5

If the quotient is a whole number, then 2 and 27,122,882.5 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 54,245,765
-1 -54,245,765

Now, we try dividing 54,245,765 by 3:

54,245,765 ÷ 3 = 18,081,921.6667

If the quotient is a whole number, then 3 and 18,081,921.6667 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 54,245,765
-1 -54,245,765

Let's try dividing by 4:

54,245,765 ÷ 4 = 13,561,441.25

If the quotient is a whole number, then 4 and 13,561,441.25 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 54,245,765
-1 54,245,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,85529,243146,215204,7011,023,5051,549,8797,749,39510,849,15354,245,765
-1-5-7-35-53-265-371-1,855-29,243-146,215-204,701-1,023,505-1,549,879-7,749,395-10,849,153-54,245,765

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