Q: What are the factor combinations of the number 1,345,015?

 A:
Positive:   1 x 13450155 x 2690037 x 19214535 x 3842983 x 16205415 x 3241463 x 2905581 x 2315
Negative: -1 x -1345015-5 x -269003-7 x -192145-35 x -38429-83 x -16205-415 x -3241-463 x -2905-581 x -2315


How do I find the factor combinations of the number 1,345,015?

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 1,345,015, 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 1,345,015
-1 -1,345,015

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 1,345,015.

Example:
1 x 1,345,015 = 1,345,015
and
-1 x -1,345,015 = 1,345,015
Notice both answers equal 1,345,015

With that explanation out of the way, let's continue. Next, we take the number 1,345,015 and divide it by 2:

1,345,015 ÷ 2 = 672,507.5

If the quotient is a whole number, then 2 and 672,507.5 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 1,345,015
-1 -1,345,015

Now, we try dividing 1,345,015 by 3:

1,345,015 ÷ 3 = 448,338.3333

If the quotient is a whole number, then 3 and 448,338.3333 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 1,345,015
-1 -1,345,015

Let's try dividing by 4:

1,345,015 ÷ 4 = 336,253.75

If the quotient is a whole number, then 4 and 336,253.75 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 1,345,015
-1 1,345,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735834154635812,3152,9053,24116,20538,429192,145269,0031,345,015
-1-5-7-35-83-415-463-581-2,315-2,905-3,241-16,205-38,429-192,145-269,003-1,345,015

More Examples

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