Q: What are the factor combinations of the number 135,460,715?

 A:
Positive:   1 x 1354607155 x 2709214313 x 1042005565 x 2084011311 x 4355651555 x 871134043 x 335056701 x 20215
Negative: -1 x -135460715-5 x -27092143-13 x -10420055-65 x -2084011-311 x -435565-1555 x -87113-4043 x -33505-6701 x -20215


How do I find the factor combinations of the number 135,460,715?

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 135,460,715, 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.

1 135,460,715
-1 -135,460,715

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 135,460,715.

Example:
1 x 135,460,715 = 135,460,715
and
-1 x -135,460,715 = 135,460,715
Notice both answers equal 135,460,715

With that explanation out of the way, let's continue. Next, we take the number 135,460,715 and divide it by 2:

135,460,715 ÷ 2 = 67,730,357.5

If the quotient is a whole number, then 2 and 67,730,357.5 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:

1 135,460,715
-1 -135,460,715

Now, we try dividing 135,460,715 by 3:

135,460,715 ÷ 3 = 45,153,571.6667

If the quotient is a whole number, then 3 and 45,153,571.6667 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:

1 135,460,715
-1 -135,460,715

Let's try dividing by 4:

135,460,715 ÷ 4 = 33,865,178.75

If the quotient is a whole number, then 4 and 33,865,178.75 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:

1 135,460,715
-1 135,460,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653111,5554,0436,70120,21533,50587,113435,5652,084,01110,420,05527,092,143135,460,715
-1-5-13-65-311-1,555-4,043-6,701-20,215-33,505-87,113-435,565-2,084,011-10,420,055-27,092,143-135,460,715

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