Q: What are the factor combinations of the number 147,299,299?

 A:
Positive:   1 x 1472992997 x 2104275767 x 2198497127 x 1159837469 x 314071889 x 1656912473 x 595638509 x 17311
Negative: -1 x -147299299-7 x -21042757-67 x -2198497-127 x -1159837-469 x -314071-889 x -165691-2473 x -59563-8509 x -17311


How do I find the factor combinations of the number 147,299,299?

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 147,299,299, 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.

1 147,299,299
-1 -147,299,299

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 147,299,299.

Example:
1 x 147,299,299 = 147,299,299
and
-1 x -147,299,299 = 147,299,299
Notice both answers equal 147,299,299

With that explanation out of the way, let's continue. Next, we take the number 147,299,299 and divide it by 2:

147,299,299 ÷ 2 = 73,649,649.5

If the quotient is a whole number, then 2 and 73,649,649.5 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:

1 147,299,299
-1 -147,299,299

Now, we try dividing 147,299,299 by 3:

147,299,299 ÷ 3 = 49,099,766.3333

If the quotient is a whole number, then 3 and 49,099,766.3333 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:

1 147,299,299
-1 -147,299,299

Let's try dividing by 4:

147,299,299 ÷ 4 = 36,824,824.75

If the quotient is a whole number, then 4 and 36,824,824.75 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:

1 147,299,299
-1 147,299,299
Keep dividing by the next highest number until you cannot divide anymore.

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

17671274698892,4738,50917,31159,563165,691314,0711,159,8372,198,49721,042,757147,299,299
-1-7-67-127-469-889-2,473-8,509-17,311-59,563-165,691-314,071-1,159,837-2,198,497-21,042,757-147,299,299

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