Q: What are the factor combinations of the number 53,026,655?

 A:
Positive:   1 x 530266555 x 1060533111 x 482060517 x 311921555 x 96412185 x 623843187 x 283565935 x 56713
Negative: -1 x -53026655-5 x -10605331-11 x -4820605-17 x -3119215-55 x -964121-85 x -623843-187 x -283565-935 x -56713


How do I find the factor combinations of the number 53,026,655?

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 53,026,655, 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 53,026,655
-1 -53,026,655

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 53,026,655.

Example:
1 x 53,026,655 = 53,026,655
and
-1 x -53,026,655 = 53,026,655
Notice both answers equal 53,026,655

With that explanation out of the way, let's continue. Next, we take the number 53,026,655 and divide it by 2:

53,026,655 ÷ 2 = 26,513,327.5

If the quotient is a whole number, then 2 and 26,513,327.5 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 53,026,655
-1 -53,026,655

Now, we try dividing 53,026,655 by 3:

53,026,655 ÷ 3 = 17,675,551.6667

If the quotient is a whole number, then 3 and 17,675,551.6667 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 53,026,655
-1 -53,026,655

Let's try dividing by 4:

53,026,655 ÷ 4 = 13,256,663.75

If the quotient is a whole number, then 4 and 13,256,663.75 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 53,026,655
-1 53,026,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793556,713283,565623,843964,1213,119,2154,820,60510,605,33153,026,655
-1-5-11-17-55-85-187-935-56,713-283,565-623,843-964,121-3,119,215-4,820,605-10,605,331-53,026,655

More Examples

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