Q: What are the factor combinations of the number 322,420,415?

 A:
Positive:   1 x 3224204155 x 6448408367 x 4812245191 x 1688065335 x 962449955 x 3376135039 x 6398512797 x 25195
Negative: -1 x -322420415-5 x -64484083-67 x -4812245-191 x -1688065-335 x -962449-955 x -337613-5039 x -63985-12797 x -25195


How do I find the factor combinations of the number 322,420,415?

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 322,420,415, 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.

1 322,420,415
-1 -322,420,415

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 322,420,415.

Example:
1 x 322,420,415 = 322,420,415
and
-1 x -322,420,415 = 322,420,415
Notice both answers equal 322,420,415

With that explanation out of the way, let's continue. Next, we take the number 322,420,415 and divide it by 2:

322,420,415 ÷ 2 = 161,210,207.5

If the quotient is a whole number, then 2 and 161,210,207.5 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:

1 322,420,415
-1 -322,420,415

Now, we try dividing 322,420,415 by 3:

322,420,415 ÷ 3 = 107,473,471.6667

If the quotient is a whole number, then 3 and 107,473,471.6667 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:

1 322,420,415
-1 -322,420,415

Let's try dividing by 4:

322,420,415 ÷ 4 = 80,605,103.75

If the quotient is a whole number, then 4 and 80,605,103.75 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:

1 322,420,415
-1 322,420,415
Keep dividing by the next highest number until you cannot divide anymore.

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

15671913359555,03912,79725,19563,985337,613962,4491,688,0654,812,24564,484,083322,420,415
-1-5-67-191-335-955-5,039-12,797-25,195-63,985-337,613-962,449-1,688,065-4,812,245-64,484,083-322,420,415

More Examples

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