Q: What are the factor combinations of the number 363,125,155?

 A:
Positive:   1 x 3631251555 x 72625031293 x 1239335311 x 1167605797 x 4556151465 x 2478671555 x 2335213985 x 91123
Negative: -1 x -363125155-5 x -72625031-293 x -1239335-311 x -1167605-797 x -455615-1465 x -247867-1555 x -233521-3985 x -91123


How do I find the factor combinations of the number 363,125,155?

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 363,125,155, 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.

1 363,125,155
-1 -363,125,155

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 363,125,155.

Example:
1 x 363,125,155 = 363,125,155
and
-1 x -363,125,155 = 363,125,155
Notice both answers equal 363,125,155

With that explanation out of the way, let's continue. Next, we take the number 363,125,155 and divide it by 2:

363,125,155 ÷ 2 = 181,562,577.5

If the quotient is a whole number, then 2 and 181,562,577.5 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:

1 363,125,155
-1 -363,125,155

Now, we try dividing 363,125,155 by 3:

363,125,155 ÷ 3 = 121,041,718.3333

If the quotient is a whole number, then 3 and 121,041,718.3333 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:

1 363,125,155
-1 -363,125,155

Let's try dividing by 4:

363,125,155 ÷ 4 = 90,781,288.75

If the quotient is a whole number, then 4 and 90,781,288.75 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:

1 363,125,155
-1 363,125,155
Keep dividing by the next highest number until you cannot divide anymore.

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

152933117971,4651,5553,98591,123233,521247,867455,6151,167,6051,239,33572,625,031363,125,155
-1-5-293-311-797-1,465-1,555-3,985-91,123-233,521-247,867-455,615-1,167,605-1,239,335-72,625,031-363,125,155

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