Q: What are the factor combinations of the number 162,500,015?

 A:
Positive:   1 x 1625000155 x 3250000341 x 3963415205 x 792683283 x 5742051415 x 1148412801 x 5801511603 x 14005
Negative: -1 x -162500015-5 x -32500003-41 x -3963415-205 x -792683-283 x -574205-1415 x -114841-2801 x -58015-11603 x -14005


How do I find the factor combinations of the number 162,500,015?

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 162,500,015, 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.

1 162,500,015
-1 -162,500,015

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 162,500,015.

Example:
1 x 162,500,015 = 162,500,015
and
-1 x -162,500,015 = 162,500,015
Notice both answers equal 162,500,015

With that explanation out of the way, let's continue. Next, we take the number 162,500,015 and divide it by 2:

162,500,015 ÷ 2 = 81,250,007.5

If the quotient is a whole number, then 2 and 81,250,007.5 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:

1 162,500,015
-1 -162,500,015

Now, we try dividing 162,500,015 by 3:

162,500,015 ÷ 3 = 54,166,671.6667

If the quotient is a whole number, then 3 and 54,166,671.6667 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:

1 162,500,015
-1 -162,500,015

Let's try dividing by 4:

162,500,015 ÷ 4 = 40,625,003.75

If the quotient is a whole number, then 4 and 40,625,003.75 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:

1 162,500,015
-1 162,500,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15412052831,4152,80111,60314,00558,015114,841574,205792,6833,963,41532,500,003162,500,015
-1-5-41-205-283-1,415-2,801-11,603-14,005-58,015-114,841-574,205-792,683-3,963,415-32,500,003-162,500,015

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