Q: What are the factor combinations of the number 15,421,415?

 A:
Positive:   1 x 154214155 x 308428331 x 49746537 x 416795155 x 99493185 x 833591147 x 134452689 x 5735
Negative: -1 x -15421415-5 x -3084283-31 x -497465-37 x -416795-155 x -99493-185 x -83359-1147 x -13445-2689 x -5735


How do I find the factor combinations of the number 15,421,415?

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 15,421,415, 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 15,421,415
-1 -15,421,415

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 15,421,415.

Example:
1 x 15,421,415 = 15,421,415
and
-1 x -15,421,415 = 15,421,415
Notice both answers equal 15,421,415

With that explanation out of the way, let's continue. Next, we take the number 15,421,415 and divide it by 2:

15,421,415 ÷ 2 = 7,710,707.5

If the quotient is a whole number, then 2 and 7,710,707.5 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 15,421,415
-1 -15,421,415

Now, we try dividing 15,421,415 by 3:

15,421,415 ÷ 3 = 5,140,471.6667

If the quotient is a whole number, then 3 and 5,140,471.6667 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 15,421,415
-1 -15,421,415

Let's try dividing by 4:

15,421,415 ÷ 4 = 3,855,353.75

If the quotient is a whole number, then 4 and 3,855,353.75 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 15,421,415
-1 15,421,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1531371551851,1472,6895,73513,44583,35999,493416,795497,4653,084,28315,421,415
-1-5-31-37-155-185-1,147-2,689-5,735-13,445-83,359-99,493-416,795-497,465-3,084,283-15,421,415

More Examples

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