Q: What are the factor combinations of the number 173,738,477?

 A:
Positive:   1 x 17373847711 x 1579440731 x 5604467341 x 509497467 x 3720311091 x 1592475137 x 3382112001 x 14477
Negative: -1 x -173738477-11 x -15794407-31 x -5604467-341 x -509497-467 x -372031-1091 x -159247-5137 x -33821-12001 x -14477


How do I find the factor combinations of the number 173,738,477?

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 173,738,477, 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.

1 173,738,477
-1 -173,738,477

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 173,738,477.

Example:
1 x 173,738,477 = 173,738,477
and
-1 x -173,738,477 = 173,738,477
Notice both answers equal 173,738,477

With that explanation out of the way, let's continue. Next, we take the number 173,738,477 and divide it by 2:

173,738,477 ÷ 2 = 86,869,238.5

If the quotient is a whole number, then 2 and 86,869,238.5 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:

1 173,738,477
-1 -173,738,477

Now, we try dividing 173,738,477 by 3:

173,738,477 ÷ 3 = 57,912,825.6667

If the quotient is a whole number, then 3 and 57,912,825.6667 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:

1 173,738,477
-1 -173,738,477

Let's try dividing by 4:

173,738,477 ÷ 4 = 43,434,619.25

If the quotient is a whole number, then 4 and 43,434,619.25 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:

1 173,738,477
-1 173,738,477
Keep dividing by the next highest number until you cannot divide anymore.

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

111313414671,0915,13712,00114,47733,821159,247372,031509,4975,604,46715,794,407173,738,477
-1-11-31-341-467-1,091-5,137-12,001-14,477-33,821-159,247-372,031-509,497-5,604,467-15,794,407-173,738,477

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