Q: What are the factor combinations of the number 9,873,745?

 A:
Positive:   1 x 98737455 x 19747497 x 141053535 x 28210749 x 201505191 x 51695211 x 46795245 x 40301955 x 103391055 x 93591337 x 73851477 x 6685
Negative: -1 x -9873745-5 x -1974749-7 x -1410535-35 x -282107-49 x -201505-191 x -51695-211 x -46795-245 x -40301-955 x -10339-1055 x -9359-1337 x -7385-1477 x -6685


How do I find the factor combinations of the number 9,873,745?

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 9,873,745, 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 9,873,745
-1 -9,873,745

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 9,873,745.

Example:
1 x 9,873,745 = 9,873,745
and
-1 x -9,873,745 = 9,873,745
Notice both answers equal 9,873,745

With that explanation out of the way, let's continue. Next, we take the number 9,873,745 and divide it by 2:

9,873,745 ÷ 2 = 4,936,872.5

If the quotient is a whole number, then 2 and 4,936,872.5 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 9,873,745
-1 -9,873,745

Now, we try dividing 9,873,745 by 3:

9,873,745 ÷ 3 = 3,291,248.3333

If the quotient is a whole number, then 3 and 3,291,248.3333 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 9,873,745
-1 -9,873,745

Let's try dividing by 4:

9,873,745 ÷ 4 = 2,468,436.25

If the quotient is a whole number, then 4 and 2,468,436.25 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 9,873,745
-1 9,873,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491912112459551,0551,3371,4776,6857,3859,35910,33940,30146,79551,695201,505282,1071,410,5351,974,7499,873,745
-1-5-7-35-49-191-211-245-955-1,055-1,337-1,477-6,685-7,385-9,359-10,339-40,301-46,795-51,695-201,505-282,107-1,410,535-1,974,749-9,873,745

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