Q: What are the factor combinations of the number 102,200,315?

 A:
Positive:   1 x 1022003155 x 204400637 x 1460004535 x 292000961 x 1675415305 x 335083427 x 2393452135 x 47869
Negative: -1 x -102200315-5 x -20440063-7 x -14600045-35 x -2920009-61 x -1675415-305 x -335083-427 x -239345-2135 x -47869


How do I find the factor combinations of the number 102,200,315?

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 102,200,315, 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.

1 102,200,315
-1 -102,200,315

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 102,200,315.

Example:
1 x 102,200,315 = 102,200,315
and
-1 x -102,200,315 = 102,200,315
Notice both answers equal 102,200,315

With that explanation out of the way, let's continue. Next, we take the number 102,200,315 and divide it by 2:

102,200,315 ÷ 2 = 51,100,157.5

If the quotient is a whole number, then 2 and 51,100,157.5 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:

1 102,200,315
-1 -102,200,315

Now, we try dividing 102,200,315 by 3:

102,200,315 ÷ 3 = 34,066,771.6667

If the quotient is a whole number, then 3 and 34,066,771.6667 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:

1 102,200,315
-1 -102,200,315

Let's try dividing by 4:

102,200,315 ÷ 4 = 25,550,078.75

If the quotient is a whole number, then 4 and 25,550,078.75 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:

1 102,200,315
-1 102,200,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15735613054272,13547,869239,345335,0831,675,4152,920,00914,600,04520,440,063102,200,315
-1-5-7-35-61-305-427-2,135-47,869-239,345-335,083-1,675,415-2,920,009-14,600,045-20,440,063-102,200,315

More Examples

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