Q: What are the factor combinations of the number 162,835,225?

 A:
Positive:   1 x 1628352255 x 325670457 x 2326217519 x 857027525 x 651340935 x 465243595 x 1714055133 x 1224325175 x 930487475 x 342811665 x 2448653325 x 48973
Negative: -1 x -162835225-5 x -32567045-7 x -23262175-19 x -8570275-25 x -6513409-35 x -4652435-95 x -1714055-133 x -1224325-175 x -930487-475 x -342811-665 x -244865-3325 x -48973


How do I find the factor combinations of the number 162,835,225?

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 162,835,225, 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.

1 162,835,225
-1 -162,835,225

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 162,835,225.

Example:
1 x 162,835,225 = 162,835,225
and
-1 x -162,835,225 = 162,835,225
Notice both answers equal 162,835,225

With that explanation out of the way, let's continue. Next, we take the number 162,835,225 and divide it by 2:

162,835,225 ÷ 2 = 81,417,612.5

If the quotient is a whole number, then 2 and 81,417,612.5 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:

1 162,835,225
-1 -162,835,225

Now, we try dividing 162,835,225 by 3:

162,835,225 ÷ 3 = 54,278,408.3333

If the quotient is a whole number, then 3 and 54,278,408.3333 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:

1 162,835,225
-1 -162,835,225

Let's try dividing by 4:

162,835,225 ÷ 4 = 40,708,806.25

If the quotient is a whole number, then 4 and 40,708,806.25 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:

1 162,835,225
-1 162,835,225
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331754756653,32548,973244,865342,811930,4871,224,3251,714,0554,652,4356,513,4098,570,27523,262,17532,567,045162,835,225
-1-5-7-19-25-35-95-133-175-475-665-3,325-48,973-244,865-342,811-930,487-1,224,325-1,714,055-4,652,435-6,513,409-8,570,275-23,262,175-32,567,045-162,835,225

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