Q: What are the factor combinations of the number 107,673,995?

 A:
Positive:   1 x 1076739955 x 2153479911 x 978854513 x 828261541 x 262619555 x 195770965 x 1656523143 x 752965205 x 525239451 x 238745533 x 202015715 x 1505932255 x 477492665 x 404033673 x 293155863 x 18365
Negative: -1 x -107673995-5 x -21534799-11 x -9788545-13 x -8282615-41 x -2626195-55 x -1957709-65 x -1656523-143 x -752965-205 x -525239-451 x -238745-533 x -202015-715 x -150593-2255 x -47749-2665 x -40403-3673 x -29315-5863 x -18365


How do I find the factor combinations of the number 107,673,995?

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 107,673,995, 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.

1 107,673,995
-1 -107,673,995

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 107,673,995.

Example:
1 x 107,673,995 = 107,673,995
and
-1 x -107,673,995 = 107,673,995
Notice both answers equal 107,673,995

With that explanation out of the way, let's continue. Next, we take the number 107,673,995 and divide it by 2:

107,673,995 ÷ 2 = 53,836,997.5

If the quotient is a whole number, then 2 and 53,836,997.5 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:

1 107,673,995
-1 -107,673,995

Now, we try dividing 107,673,995 by 3:

107,673,995 ÷ 3 = 35,891,331.6667

If the quotient is a whole number, then 3 and 35,891,331.6667 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:

1 107,673,995
-1 -107,673,995

Let's try dividing by 4:

107,673,995 ÷ 4 = 26,918,498.75

If the quotient is a whole number, then 4 and 26,918,498.75 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:

1 107,673,995
-1 107,673,995
Keep dividing by the next highest number until you cannot divide anymore.

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

1511134155651432054515337152,2552,6653,6735,86318,36529,31540,40347,749150,593202,015238,745525,239752,9651,656,5231,957,7092,626,1958,282,6159,788,54521,534,799107,673,995
-1-5-11-13-41-55-65-143-205-451-533-715-2,255-2,665-3,673-5,863-18,365-29,315-40,403-47,749-150,593-202,015-238,745-525,239-752,965-1,656,523-1,957,709-2,626,195-8,282,615-9,788,545-21,534,799-107,673,995

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