Q: What are the factor combinations of the number 170,011,555?

 A:
Positive:   1 x 1700115555 x 340023117 x 2428736535 x 485747379 x 2152045395 x 430409553 x 3074352765 x 61487
Negative: -1 x -170011555-5 x -34002311-7 x -24287365-35 x -4857473-79 x -2152045-395 x -430409-553 x -307435-2765 x -61487


How do I find the factor combinations of the number 170,011,555?

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 170,011,555, 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.

1 170,011,555
-1 -170,011,555

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 170,011,555.

Example:
1 x 170,011,555 = 170,011,555
and
-1 x -170,011,555 = 170,011,555
Notice both answers equal 170,011,555

With that explanation out of the way, let's continue. Next, we take the number 170,011,555 and divide it by 2:

170,011,555 ÷ 2 = 85,005,777.5

If the quotient is a whole number, then 2 and 85,005,777.5 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:

1 170,011,555
-1 -170,011,555

Now, we try dividing 170,011,555 by 3:

170,011,555 ÷ 3 = 56,670,518.3333

If the quotient is a whole number, then 3 and 56,670,518.3333 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:

1 170,011,555
-1 -170,011,555

Let's try dividing by 4:

170,011,555 ÷ 4 = 42,502,888.75

If the quotient is a whole number, then 4 and 42,502,888.75 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:

1 170,011,555
-1 170,011,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15735793955532,76561,487307,435430,4092,152,0454,857,47324,287,36534,002,311170,011,555
-1-5-7-35-79-395-553-2,765-61,487-307,435-430,409-2,152,045-4,857,473-24,287,365-34,002,311-170,011,555

More Examples

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