Q: What are the factor combinations of the number 104,303,465?

 A:
Positive:   1 x 1043034655 x 208606937 x 1490049535 x 2980099103 x 1012655515 x 202531721 x 1446653605 x 28933
Negative: -1 x -104303465-5 x -20860693-7 x -14900495-35 x -2980099-103 x -1012655-515 x -202531-721 x -144665-3605 x -28933


How do I find the factor combinations of the number 104,303,465?

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 104,303,465, 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.

1 104,303,465
-1 -104,303,465

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 104,303,465.

Example:
1 x 104,303,465 = 104,303,465
and
-1 x -104,303,465 = 104,303,465
Notice both answers equal 104,303,465

With that explanation out of the way, let's continue. Next, we take the number 104,303,465 and divide it by 2:

104,303,465 ÷ 2 = 52,151,732.5

If the quotient is a whole number, then 2 and 52,151,732.5 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:

1 104,303,465
-1 -104,303,465

Now, we try dividing 104,303,465 by 3:

104,303,465 ÷ 3 = 34,767,821.6667

If the quotient is a whole number, then 3 and 34,767,821.6667 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:

1 104,303,465
-1 -104,303,465

Let's try dividing by 4:

104,303,465 ÷ 4 = 26,075,866.25

If the quotient is a whole number, then 4 and 26,075,866.25 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:

1 104,303,465
-1 104,303,465
Keep dividing by the next highest number until you cannot divide anymore.

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

157351035157213,60528,933144,665202,5311,012,6552,980,09914,900,49520,860,693104,303,465
-1-5-7-35-103-515-721-3,605-28,933-144,665-202,531-1,012,655-2,980,099-14,900,495-20,860,693-104,303,465

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