Q: What are the factor combinations of the number 178,080,053?

 A:
Positive:   1 x 17808005323 x 774261153 x 3360001347 x 513199421 x 4229931219 x 1460877981 x 223139683 x 18391
Negative: -1 x -178080053-23 x -7742611-53 x -3360001-347 x -513199-421 x -422993-1219 x -146087-7981 x -22313-9683 x -18391


How do I find the factor combinations of the number 178,080,053?

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 178,080,053, 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.

1 178,080,053
-1 -178,080,053

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 178,080,053.

Example:
1 x 178,080,053 = 178,080,053
and
-1 x -178,080,053 = 178,080,053
Notice both answers equal 178,080,053

With that explanation out of the way, let's continue. Next, we take the number 178,080,053 and divide it by 2:

178,080,053 ÷ 2 = 89,040,026.5

If the quotient is a whole number, then 2 and 89,040,026.5 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:

1 178,080,053
-1 -178,080,053

Now, we try dividing 178,080,053 by 3:

178,080,053 ÷ 3 = 59,360,017.6667

If the quotient is a whole number, then 3 and 59,360,017.6667 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:

1 178,080,053
-1 -178,080,053

Let's try dividing by 4:

178,080,053 ÷ 4 = 44,520,013.25

If the quotient is a whole number, then 4 and 44,520,013.25 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:

1 178,080,053
-1 178,080,053
Keep dividing by the next highest number until you cannot divide anymore.

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

123533474211,2197,9819,68318,39122,313146,087422,993513,1993,360,0017,742,611178,080,053
-1-23-53-347-421-1,219-7,981-9,683-18,391-22,313-146,087-422,993-513,199-3,360,001-7,742,611-178,080,053

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