Q: What are the factor combinations of the number 146,068,415?

 A:
Positive:   1 x 1460684155 x 2921368337 x 3947795127 x 1150145185 x 789559635 x 2300294699 x 310856217 x 23495
Negative: -1 x -146068415-5 x -29213683-37 x -3947795-127 x -1150145-185 x -789559-635 x -230029-4699 x -31085-6217 x -23495


How do I find the factor combinations of the number 146,068,415?

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 146,068,415, 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.

1 146,068,415
-1 -146,068,415

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 146,068,415.

Example:
1 x 146,068,415 = 146,068,415
and
-1 x -146,068,415 = 146,068,415
Notice both answers equal 146,068,415

With that explanation out of the way, let's continue. Next, we take the number 146,068,415 and divide it by 2:

146,068,415 ÷ 2 = 73,034,207.5

If the quotient is a whole number, then 2 and 73,034,207.5 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:

1 146,068,415
-1 -146,068,415

Now, we try dividing 146,068,415 by 3:

146,068,415 ÷ 3 = 48,689,471.6667

If the quotient is a whole number, then 3 and 48,689,471.6667 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:

1 146,068,415
-1 -146,068,415

Let's try dividing by 4:

146,068,415 ÷ 4 = 36,517,103.75

If the quotient is a whole number, then 4 and 36,517,103.75 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:

1 146,068,415
-1 146,068,415
Keep dividing by the next highest number until you cannot divide anymore.

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

15371271856354,6996,21723,49531,085230,029789,5591,150,1453,947,79529,213,683146,068,415
-1-5-37-127-185-635-4,699-6,217-23,495-31,085-230,029-789,559-1,150,145-3,947,795-29,213,683-146,068,415

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