Q: What are the factor combinations of the number 146,156,569?

 A:
Positive:   1 x 14615656913 x 1124281319 x 7692451131 x 1115699247 x 5917271703 x 858232489 x 587214517 x 32357
Negative: -1 x -146156569-13 x -11242813-19 x -7692451-131 x -1115699-247 x -591727-1703 x -85823-2489 x -58721-4517 x -32357


How do I find the factor combinations of the number 146,156,569?

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 146,156,569, 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.

1 146,156,569
-1 -146,156,569

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 146,156,569.

Example:
1 x 146,156,569 = 146,156,569
and
-1 x -146,156,569 = 146,156,569
Notice both answers equal 146,156,569

With that explanation out of the way, let's continue. Next, we take the number 146,156,569 and divide it by 2:

146,156,569 ÷ 2 = 73,078,284.5

If the quotient is a whole number, then 2 and 73,078,284.5 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:

1 146,156,569
-1 -146,156,569

Now, we try dividing 146,156,569 by 3:

146,156,569 ÷ 3 = 48,718,856.3333

If the quotient is a whole number, then 3 and 48,718,856.3333 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:

1 146,156,569
-1 -146,156,569

Let's try dividing by 4:

146,156,569 ÷ 4 = 36,539,142.25

If the quotient is a whole number, then 4 and 36,539,142.25 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:

1 146,156,569
-1 146,156,569
Keep dividing by the next highest number until you cannot divide anymore.

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

113191312471,7032,4894,51732,35758,72185,823591,7271,115,6997,692,45111,242,813146,156,569
-1-13-19-131-247-1,703-2,489-4,517-32,357-58,721-85,823-591,727-1,115,699-7,692,451-11,242,813-146,156,569

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