Q: What are the factor combinations of the number 60,572,173?

 A:
Positive:   1 x 6057217317 x 356306959 x 1026647131 x 462383461 x 1313931003 x 603912227 x 271997729 x 7837
Negative: -1 x -60572173-17 x -3563069-59 x -1026647-131 x -462383-461 x -131393-1003 x -60391-2227 x -27199-7729 x -7837


How do I find the factor combinations of the number 60,572,173?

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 60,572,173, 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 60,572,173
-1 -60,572,173

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 60,572,173.

Example:
1 x 60,572,173 = 60,572,173
and
-1 x -60,572,173 = 60,572,173
Notice both answers equal 60,572,173

With that explanation out of the way, let's continue. Next, we take the number 60,572,173 and divide it by 2:

60,572,173 ÷ 2 = 30,286,086.5

If the quotient is a whole number, then 2 and 30,286,086.5 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 60,572,173
-1 -60,572,173

Now, we try dividing 60,572,173 by 3:

60,572,173 ÷ 3 = 20,190,724.3333

If the quotient is a whole number, then 3 and 20,190,724.3333 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 60,572,173
-1 -60,572,173

Let's try dividing by 4:

60,572,173 ÷ 4 = 15,143,043.25

If the quotient is a whole number, then 4 and 15,143,043.25 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 60,572,173
-1 60,572,173
Keep dividing by the next highest number until you cannot divide anymore.

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

117591314611,0032,2277,7297,83727,19960,391131,393462,3831,026,6473,563,06960,572,173
-1-17-59-131-461-1,003-2,227-7,729-7,837-27,199-60,391-131,393-462,383-1,026,647-3,563,069-60,572,173

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