Q: What are the factor combinations of the number 177,150,265?

 A:
Positive:   1 x 1771502655 x 3543005337 x 4787845185 x 957569311 x 5696151555 x 1139233079 x 5753511507 x 15395
Negative: -1 x -177150265-5 x -35430053-37 x -4787845-185 x -957569-311 x -569615-1555 x -113923-3079 x -57535-11507 x -15395


How do I find the factor combinations of the number 177,150,265?

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 177,150,265, 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.

1 177,150,265
-1 -177,150,265

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 177,150,265.

Example:
1 x 177,150,265 = 177,150,265
and
-1 x -177,150,265 = 177,150,265
Notice both answers equal 177,150,265

With that explanation out of the way, let's continue. Next, we take the number 177,150,265 and divide it by 2:

177,150,265 ÷ 2 = 88,575,132.5

If the quotient is a whole number, then 2 and 88,575,132.5 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:

1 177,150,265
-1 -177,150,265

Now, we try dividing 177,150,265 by 3:

177,150,265 ÷ 3 = 59,050,088.3333

If the quotient is a whole number, then 3 and 59,050,088.3333 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:

1 177,150,265
-1 -177,150,265

Let's try dividing by 4:

177,150,265 ÷ 4 = 44,287,566.25

If the quotient is a whole number, then 4 and 44,287,566.25 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:

1 177,150,265
-1 177,150,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15371853111,5553,07911,50715,39557,535113,923569,615957,5694,787,84535,430,053177,150,265
-1-5-37-185-311-1,555-3,079-11,507-15,395-57,535-113,923-569,615-957,569-4,787,845-35,430,053-177,150,265

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