Q: What are the factor combinations of the number 54,042,035?

 A:
Positive:   1 x 540420355 x 1080840761 x 885935167 x 323605305 x 177187835 x 647211061 x 509355305 x 10187
Negative: -1 x -54042035-5 x -10808407-61 x -885935-167 x -323605-305 x -177187-835 x -64721-1061 x -50935-5305 x -10187


How do I find the factor combinations of the number 54,042,035?

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 54,042,035, 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 54,042,035
-1 -54,042,035

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 54,042,035.

Example:
1 x 54,042,035 = 54,042,035
and
-1 x -54,042,035 = 54,042,035
Notice both answers equal 54,042,035

With that explanation out of the way, let's continue. Next, we take the number 54,042,035 and divide it by 2:

54,042,035 ÷ 2 = 27,021,017.5

If the quotient is a whole number, then 2 and 27,021,017.5 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 54,042,035
-1 -54,042,035

Now, we try dividing 54,042,035 by 3:

54,042,035 ÷ 3 = 18,014,011.6667

If the quotient is a whole number, then 3 and 18,014,011.6667 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 54,042,035
-1 -54,042,035

Let's try dividing by 4:

54,042,035 ÷ 4 = 13,510,508.75

If the quotient is a whole number, then 4 and 13,510,508.75 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 54,042,035
-1 54,042,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15611673058351,0615,30510,18750,93564,721177,187323,605885,93510,808,40754,042,035
-1-5-61-167-305-835-1,061-5,305-10,187-50,935-64,721-177,187-323,605-885,935-10,808,407-54,042,035

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