Q: What are the factor combinations of the number 162,920,035?

 A:
Positive:   1 x 1629200355 x 3258400731 x 5255485155 x 1051097941 x 1731351117 x 1458554705 x 346275585 x 29171
Negative: -1 x -162920035-5 x -32584007-31 x -5255485-155 x -1051097-941 x -173135-1117 x -145855-4705 x -34627-5585 x -29171


How do I find the factor combinations of the number 162,920,035?

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 162,920,035, 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.

1 162,920,035
-1 -162,920,035

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 162,920,035.

Example:
1 x 162,920,035 = 162,920,035
and
-1 x -162,920,035 = 162,920,035
Notice both answers equal 162,920,035

With that explanation out of the way, let's continue. Next, we take the number 162,920,035 and divide it by 2:

162,920,035 ÷ 2 = 81,460,017.5

If the quotient is a whole number, then 2 and 81,460,017.5 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:

1 162,920,035
-1 -162,920,035

Now, we try dividing 162,920,035 by 3:

162,920,035 ÷ 3 = 54,306,678.3333

If the quotient is a whole number, then 3 and 54,306,678.3333 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:

1 162,920,035
-1 -162,920,035

Let's try dividing by 4:

162,920,035 ÷ 4 = 40,730,008.75

If the quotient is a whole number, then 4 and 40,730,008.75 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:

1 162,920,035
-1 162,920,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15311559411,1174,7055,58529,17134,627145,855173,1351,051,0975,255,48532,584,007162,920,035
-1-5-31-155-941-1,117-4,705-5,585-29,171-34,627-145,855-173,135-1,051,097-5,255,485-32,584,007-162,920,035

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