Q: What are the factor combinations of the number 146,732,287?

 A:
Positive:   1 x 14673228713 x 1128709917 x 8631311151 x 971737221 x 6639471963 x 747492567 x 571614397 x 33371
Negative: -1 x -146732287-13 x -11287099-17 x -8631311-151 x -971737-221 x -663947-1963 x -74749-2567 x -57161-4397 x -33371


How do I find the factor combinations of the number 146,732,287?

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 146,732,287, 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.

1 146,732,287
-1 -146,732,287

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 146,732,287.

Example:
1 x 146,732,287 = 146,732,287
and
-1 x -146,732,287 = 146,732,287
Notice both answers equal 146,732,287

With that explanation out of the way, let's continue. Next, we take the number 146,732,287 and divide it by 2:

146,732,287 ÷ 2 = 73,366,143.5

If the quotient is a whole number, then 2 and 73,366,143.5 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:

1 146,732,287
-1 -146,732,287

Now, we try dividing 146,732,287 by 3:

146,732,287 ÷ 3 = 48,910,762.3333

If the quotient is a whole number, then 3 and 48,910,762.3333 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:

1 146,732,287
-1 -146,732,287

Let's try dividing by 4:

146,732,287 ÷ 4 = 36,683,071.75

If the quotient is a whole number, then 4 and 36,683,071.75 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:

1 146,732,287
-1 146,732,287
Keep dividing by the next highest number until you cannot divide anymore.

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

113171512211,9632,5674,39733,37157,16174,749663,947971,7378,631,31111,287,099146,732,287
-1-13-17-151-221-1,963-2,567-4,397-33,371-57,161-74,749-663,947-971,737-8,631,311-11,287,099-146,732,287

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