Q: What are the factor combinations of the number 152,604,563?

 A:
Positive:   1 x 15260456317 x 897673923 x 6634981277 x 550919391 x 3902931409 x 1083074709 x 324076371 x 23953
Negative: -1 x -152604563-17 x -8976739-23 x -6634981-277 x -550919-391 x -390293-1409 x -108307-4709 x -32407-6371 x -23953


How do I find the factor combinations of the number 152,604,563?

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 152,604,563, 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.

1 152,604,563
-1 -152,604,563

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 152,604,563.

Example:
1 x 152,604,563 = 152,604,563
and
-1 x -152,604,563 = 152,604,563
Notice both answers equal 152,604,563

With that explanation out of the way, let's continue. Next, we take the number 152,604,563 and divide it by 2:

152,604,563 ÷ 2 = 76,302,281.5

If the quotient is a whole number, then 2 and 76,302,281.5 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:

1 152,604,563
-1 -152,604,563

Now, we try dividing 152,604,563 by 3:

152,604,563 ÷ 3 = 50,868,187.6667

If the quotient is a whole number, then 3 and 50,868,187.6667 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:

1 152,604,563
-1 -152,604,563

Let's try dividing by 4:

152,604,563 ÷ 4 = 38,151,140.75

If the quotient is a whole number, then 4 and 38,151,140.75 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:

1 152,604,563
-1 152,604,563
Keep dividing by the next highest number until you cannot divide anymore.

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

117232773911,4094,7096,37123,95332,407108,307390,293550,9196,634,9818,976,739152,604,563
-1-17-23-277-391-1,409-4,709-6,371-23,953-32,407-108,307-390,293-550,919-6,634,981-8,976,739-152,604,563

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