Q: What are the factor combinations of the number 147,264,001?

 A:
Positive:   1 x 14726400129 x 5078069149 x 988349173 x 851237197 x 7475334321 x 340815017 x 293535713 x 25777
Negative: -1 x -147264001-29 x -5078069-149 x -988349-173 x -851237-197 x -747533-4321 x -34081-5017 x -29353-5713 x -25777


How do I find the factor combinations of the number 147,264,001?

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 147,264,001, 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.

1 147,264,001
-1 -147,264,001

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 147,264,001.

Example:
1 x 147,264,001 = 147,264,001
and
-1 x -147,264,001 = 147,264,001
Notice both answers equal 147,264,001

With that explanation out of the way, let's continue. Next, we take the number 147,264,001 and divide it by 2:

147,264,001 ÷ 2 = 73,632,000.5

If the quotient is a whole number, then 2 and 73,632,000.5 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:

1 147,264,001
-1 -147,264,001

Now, we try dividing 147,264,001 by 3:

147,264,001 ÷ 3 = 49,088,000.3333

If the quotient is a whole number, then 3 and 49,088,000.3333 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:

1 147,264,001
-1 -147,264,001

Let's try dividing by 4:

147,264,001 ÷ 4 = 36,816,000.25

If the quotient is a whole number, then 4 and 36,816,000.25 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:

1 147,264,001
-1 147,264,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1291491731974,3215,0175,71325,77729,35334,081747,533851,237988,3495,078,069147,264,001
-1-29-149-173-197-4,321-5,017-5,713-25,777-29,353-34,081-747,533-851,237-988,349-5,078,069-147,264,001

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