Q: What are the factor combinations of the number 176,004,013?
A:
Positive:
1 x 17600401310321 x 17053
Negative:
-1 x -176004013-10321 x -17053
A:
Positive:
1 x 17600401310321 x 17053
Negative:
-1 x -176004013-10321 x -17053
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 176,004,013, it is easier to work with a table - it's called factoring from the outside in.
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 | 176,004,013 | |
-1 | -176,004,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 176,004,013.
Example:
1 x 176,004,013 = 176,004,013
and
-1 x -176,004,013 = 176,004,013
Notice both answers equal 176,004,013
With that explanation out of the way, let's continue. Next, we take the number 176,004,013 and divide it by 2:
176,004,013 ÷ 2 = 88,002,006.5
If the quotient is a whole number, then 2 and 88,002,006.5 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 | 176,004,013 | |
-1 | -176,004,013 |
Now, we try dividing 176,004,013 by 3:
176,004,013 ÷ 3 = 58,668,004.3333
If the quotient is a whole number, then 3 and 58,668,004.3333 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 | 176,004,013 | |
-1 | -176,004,013 |
Let's try dividing by 4:
176,004,013 ÷ 4 = 44,001,003.25
If the quotient is a whole number, then 4 and 44,001,003.25 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 | 176,004,013 | |
-1 | 176,004,013 |
If you did it right, you will end up with this table:
1 | 10,321 | 17,053 | 176,004,013 |
-1 | -10,321 | -17,053 | -176,004,013 |
Here are some more numbers to try:
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