Q: What are the factor combinations of the number 162,603,265?

 A:
Positive:   1 x 1626032655 x 3252065311 x 1478211555 x 2956423919 x 1769353217 x 505454595 x 3538710109 x 16085
Negative: -1 x -162603265-5 x -32520653-11 x -14782115-55 x -2956423-919 x -176935-3217 x -50545-4595 x -35387-10109 x -16085


How do I find the factor combinations of the number 162,603,265?

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 162,603,265, 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.

1 162,603,265
-1 -162,603,265

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 162,603,265.

Example:
1 x 162,603,265 = 162,603,265
and
-1 x -162,603,265 = 162,603,265
Notice both answers equal 162,603,265

With that explanation out of the way, let's continue. Next, we take the number 162,603,265 and divide it by 2:

162,603,265 ÷ 2 = 81,301,632.5

If the quotient is a whole number, then 2 and 81,301,632.5 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:

1 162,603,265
-1 -162,603,265

Now, we try dividing 162,603,265 by 3:

162,603,265 ÷ 3 = 54,201,088.3333

If the quotient is a whole number, then 3 and 54,201,088.3333 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:

1 162,603,265
-1 -162,603,265

Let's try dividing by 4:

162,603,265 ÷ 4 = 40,650,816.25

If the quotient is a whole number, then 4 and 40,650,816.25 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:

1 162,603,265
-1 162,603,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1511559193,2174,59510,10916,08535,38750,545176,9352,956,42314,782,11532,520,653162,603,265
-1-5-11-55-919-3,217-4,595-10,109-16,085-35,387-50,545-176,935-2,956,423-14,782,115-32,520,653-162,603,265

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