Q: What are the factor combinations of the number 102,143,365?

 A:
Positive:   1 x 1021433655 x 2042867329 x 3522185145 x 704437257 x 3974451285 x 794892741 x 372657453 x 13705
Negative: -1 x -102143365-5 x -20428673-29 x -3522185-145 x -704437-257 x -397445-1285 x -79489-2741 x -37265-7453 x -13705


How do I find the factor combinations of the number 102,143,365?

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 102,143,365, 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.

1 102,143,365
-1 -102,143,365

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 102,143,365.

Example:
1 x 102,143,365 = 102,143,365
and
-1 x -102,143,365 = 102,143,365
Notice both answers equal 102,143,365

With that explanation out of the way, let's continue. Next, we take the number 102,143,365 and divide it by 2:

102,143,365 ÷ 2 = 51,071,682.5

If the quotient is a whole number, then 2 and 51,071,682.5 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:

1 102,143,365
-1 -102,143,365

Now, we try dividing 102,143,365 by 3:

102,143,365 ÷ 3 = 34,047,788.3333

If the quotient is a whole number, then 3 and 34,047,788.3333 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:

1 102,143,365
-1 -102,143,365

Let's try dividing by 4:

102,143,365 ÷ 4 = 25,535,841.25

If the quotient is a whole number, then 4 and 25,535,841.25 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:

1 102,143,365
-1 102,143,365
Keep dividing by the next highest number until you cannot divide anymore.

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

15291452571,2852,7417,45313,70537,26579,489397,445704,4373,522,18520,428,673102,143,365
-1-5-29-145-257-1,285-2,741-7,453-13,705-37,265-79,489-397,445-704,437-3,522,185-20,428,673-102,143,365

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