Q: What are the factor combinations of the number 52,001,555?

 A:
Positive:   1 x 520015555 x 1040031117 x 305891585 x 611783443 x 1173851381 x 376552215 x 234776905 x 7531
Negative: -1 x -52001555-5 x -10400311-17 x -3058915-85 x -611783-443 x -117385-1381 x -37655-2215 x -23477-6905 x -7531


How do I find the factor combinations of the number 52,001,555?

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 52,001,555, 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 52,001,555
-1 -52,001,555

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 52,001,555.

Example:
1 x 52,001,555 = 52,001,555
and
-1 x -52,001,555 = 52,001,555
Notice both answers equal 52,001,555

With that explanation out of the way, let's continue. Next, we take the number 52,001,555 and divide it by 2:

52,001,555 ÷ 2 = 26,000,777.5

If the quotient is a whole number, then 2 and 26,000,777.5 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 52,001,555
-1 -52,001,555

Now, we try dividing 52,001,555 by 3:

52,001,555 ÷ 3 = 17,333,851.6667

If the quotient is a whole number, then 3 and 17,333,851.6667 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 52,001,555
-1 -52,001,555

Let's try dividing by 4:

52,001,555 ÷ 4 = 13,000,388.75

If the quotient is a whole number, then 4 and 13,000,388.75 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 52,001,555
-1 52,001,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1517854431,3812,2156,9057,53123,47737,655117,385611,7833,058,91510,400,31152,001,555
-1-5-17-85-443-1,381-2,215-6,905-7,531-23,477-37,655-117,385-611,783-3,058,915-10,400,311-52,001,555

More Examples

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