Q: What are the factor combinations of the number 137,070,011?

 A:
Positive:   1 x 13707001113 x 1054384741 x 3343171229 x 598559533 x 2571671123 x 1220572977 x 460439389 x 14599
Negative: -1 x -137070011-13 x -10543847-41 x -3343171-229 x -598559-533 x -257167-1123 x -122057-2977 x -46043-9389 x -14599


How do I find the factor combinations of the number 137,070,011?

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 137,070,011, 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.

1 137,070,011
-1 -137,070,011

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 137,070,011.

Example:
1 x 137,070,011 = 137,070,011
and
-1 x -137,070,011 = 137,070,011
Notice both answers equal 137,070,011

With that explanation out of the way, let's continue. Next, we take the number 137,070,011 and divide it by 2:

137,070,011 ÷ 2 = 68,535,005.5

If the quotient is a whole number, then 2 and 68,535,005.5 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:

1 137,070,011
-1 -137,070,011

Now, we try dividing 137,070,011 by 3:

137,070,011 ÷ 3 = 45,690,003.6667

If the quotient is a whole number, then 3 and 45,690,003.6667 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:

1 137,070,011
-1 -137,070,011

Let's try dividing by 4:

137,070,011 ÷ 4 = 34,267,502.75

If the quotient is a whole number, then 4 and 34,267,502.75 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:

1 137,070,011
-1 137,070,011
Keep dividing by the next highest number until you cannot divide anymore.

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

113412295331,1232,9779,38914,59946,043122,057257,167598,5593,343,17110,543,847137,070,011
-1-13-41-229-533-1,123-2,977-9,389-14,599-46,043-122,057-257,167-598,559-3,343,171-10,543,847-137,070,011

More Examples

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