Q: What are the factor combinations of the number 140,343,041?

 A:
Positive:   1 x 14034304117 x 825547341 x 3423001271 x 517871697 x 201353743 x 1888874607 x 3046311111 x 12631
Negative: -1 x -140343041-17 x -8255473-41 x -3423001-271 x -517871-697 x -201353-743 x -188887-4607 x -30463-11111 x -12631


How do I find the factor combinations of the number 140,343,041?

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 140,343,041, 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.

1 140,343,041
-1 -140,343,041

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 140,343,041.

Example:
1 x 140,343,041 = 140,343,041
and
-1 x -140,343,041 = 140,343,041
Notice both answers equal 140,343,041

With that explanation out of the way, let's continue. Next, we take the number 140,343,041 and divide it by 2:

140,343,041 ÷ 2 = 70,171,520.5

If the quotient is a whole number, then 2 and 70,171,520.5 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:

1 140,343,041
-1 -140,343,041

Now, we try dividing 140,343,041 by 3:

140,343,041 ÷ 3 = 46,781,013.6667

If the quotient is a whole number, then 3 and 46,781,013.6667 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:

1 140,343,041
-1 -140,343,041

Let's try dividing by 4:

140,343,041 ÷ 4 = 35,085,760.25

If the quotient is a whole number, then 4 and 35,085,760.25 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:

1 140,343,041
-1 140,343,041
Keep dividing by the next highest number until you cannot divide anymore.

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

117412716977434,60711,11112,63130,463188,887201,353517,8713,423,0018,255,473140,343,041
-1-17-41-271-697-743-4,607-11,111-12,631-30,463-188,887-201,353-517,871-3,423,001-8,255,473-140,343,041

More Examples

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