Q: What are the factor combinations of the number 9,601,745?

 A:
Positive:   1 x 96017455 x 192034919 x 50535553 x 18116595 x 101071265 x 362331007 x 95351907 x 5035
Negative: -1 x -9601745-5 x -1920349-19 x -505355-53 x -181165-95 x -101071-265 x -36233-1007 x -9535-1907 x -5035


How do I find the factor combinations of the number 9,601,745?

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 9,601,745, 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 9,601,745
-1 -9,601,745

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 9,601,745.

Example:
1 x 9,601,745 = 9,601,745
and
-1 x -9,601,745 = 9,601,745
Notice both answers equal 9,601,745

With that explanation out of the way, let's continue. Next, we take the number 9,601,745 and divide it by 2:

9,601,745 ÷ 2 = 4,800,872.5

If the quotient is a whole number, then 2 and 4,800,872.5 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 9,601,745
-1 -9,601,745

Now, we try dividing 9,601,745 by 3:

9,601,745 ÷ 3 = 3,200,581.6667

If the quotient is a whole number, then 3 and 3,200,581.6667 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 9,601,745
-1 -9,601,745

Let's try dividing by 4:

9,601,745 ÷ 4 = 2,400,436.25

If the quotient is a whole number, then 4 and 2,400,436.25 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 9,601,745
-1 9,601,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151953952651,0071,9075,0359,53536,233101,071181,165505,3551,920,3499,601,745
-1-5-19-53-95-265-1,007-1,907-5,035-9,535-36,233-101,071-181,165-505,355-1,920,349-9,601,745

More Examples

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