Q: What are the factor combinations of the number 177,700,601?

 A:
Positive:   1 x 17770060113 x 1366927741 x 4334161533 x 333397
Negative: -1 x -177700601-13 x -13669277-41 x -4334161-533 x -333397


How do I find the factor combinations of the number 177,700,601?

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 177,700,601, 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.

1 177,700,601
-1 -177,700,601

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 177,700,601.

Example:
1 x 177,700,601 = 177,700,601
and
-1 x -177,700,601 = 177,700,601
Notice both answers equal 177,700,601

With that explanation out of the way, let's continue. Next, we take the number 177,700,601 and divide it by 2:

177,700,601 ÷ 2 = 88,850,300.5

If the quotient is a whole number, then 2 and 88,850,300.5 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:

1 177,700,601
-1 -177,700,601

Now, we try dividing 177,700,601 by 3:

177,700,601 ÷ 3 = 59,233,533.6667

If the quotient is a whole number, then 3 and 59,233,533.6667 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:

1 177,700,601
-1 -177,700,601

Let's try dividing by 4:

177,700,601 ÷ 4 = 44,425,150.25

If the quotient is a whole number, then 4 and 44,425,150.25 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:

1 177,700,601
-1 177,700,601
Keep dividing by the next highest number until you cannot divide anymore.

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

11341533333,3974,334,16113,669,277177,700,601
-1-13-41-533-333,397-4,334,161-13,669,277-177,700,601

More Examples

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