Q: What are the factor combinations of the number 162,532,465?

 A:
Positive:   1 x 1625324655 x 32506493107 x 1518995461 x 352565535 x 303799659 x 2466352305 x 705133295 x 49327
Negative: -1 x -162532465-5 x -32506493-107 x -1518995-461 x -352565-535 x -303799-659 x -246635-2305 x -70513-3295 x -49327


How do I find the factor combinations of the number 162,532,465?

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 162,532,465, 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.

1 162,532,465
-1 -162,532,465

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 162,532,465.

Example:
1 x 162,532,465 = 162,532,465
and
-1 x -162,532,465 = 162,532,465
Notice both answers equal 162,532,465

With that explanation out of the way, let's continue. Next, we take the number 162,532,465 and divide it by 2:

162,532,465 ÷ 2 = 81,266,232.5

If the quotient is a whole number, then 2 and 81,266,232.5 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:

1 162,532,465
-1 -162,532,465

Now, we try dividing 162,532,465 by 3:

162,532,465 ÷ 3 = 54,177,488.3333

If the quotient is a whole number, then 3 and 54,177,488.3333 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:

1 162,532,465
-1 -162,532,465

Let's try dividing by 4:

162,532,465 ÷ 4 = 40,633,116.25

If the quotient is a whole number, then 4 and 40,633,116.25 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:

1 162,532,465
-1 162,532,465
Keep dividing by the next highest number until you cannot divide anymore.

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

151074615356592,3053,29549,32770,513246,635303,799352,5651,518,99532,506,493162,532,465
-1-5-107-461-535-659-2,305-3,295-49,327-70,513-246,635-303,799-352,565-1,518,995-32,506,493-162,532,465

More Examples

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