Q: What are the factor combinations of the number 735,237,163?

 A:
Positive:   1 x 73523716367 x 1097368971 x 10355453127 x 57892691217 x 6041394757 x 1545598509 x 864079017 x 81539
Negative: -1 x -735237163-67 x -10973689-71 x -10355453-127 x -5789269-1217 x -604139-4757 x -154559-8509 x -86407-9017 x -81539


How do I find the factor combinations of the number 735,237,163?

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 735,237,163, 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.

1 735,237,163
-1 -735,237,163

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 735,237,163.

Example:
1 x 735,237,163 = 735,237,163
and
-1 x -735,237,163 = 735,237,163
Notice both answers equal 735,237,163

With that explanation out of the way, let's continue. Next, we take the number 735,237,163 and divide it by 2:

735,237,163 ÷ 2 = 367,618,581.5

If the quotient is a whole number, then 2 and 367,618,581.5 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:

1 735,237,163
-1 -735,237,163

Now, we try dividing 735,237,163 by 3:

735,237,163 ÷ 3 = 245,079,054.3333

If the quotient is a whole number, then 3 and 245,079,054.3333 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:

1 735,237,163
-1 -735,237,163

Let's try dividing by 4:

735,237,163 ÷ 4 = 183,809,290.75

If the quotient is a whole number, then 4 and 183,809,290.75 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:

1 735,237,163
-1 735,237,163
Keep dividing by the next highest number until you cannot divide anymore.

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

167711271,2174,7578,5099,01781,53986,407154,559604,1395,789,26910,355,45310,973,689735,237,163
-1-67-71-127-1,217-4,757-8,509-9,017-81,539-86,407-154,559-604,139-5,789,269-10,355,453-10,973,689-735,237,163

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