Q: What are the factor combinations of the number 354,132,443?

 A:
Positive:   1 x 3541324437 x 50590349107 x 3309649431 x 821653749 x 4728071097 x 3228193017 x 1173797679 x 46117
Negative: -1 x -354132443-7 x -50590349-107 x -3309649-431 x -821653-749 x -472807-1097 x -322819-3017 x -117379-7679 x -46117


How do I find the factor combinations of the number 354,132,443?

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 354,132,443, 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.

1 354,132,443
-1 -354,132,443

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 354,132,443.

Example:
1 x 354,132,443 = 354,132,443
and
-1 x -354,132,443 = 354,132,443
Notice both answers equal 354,132,443

With that explanation out of the way, let's continue. Next, we take the number 354,132,443 and divide it by 2:

354,132,443 ÷ 2 = 177,066,221.5

If the quotient is a whole number, then 2 and 177,066,221.5 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:

1 354,132,443
-1 -354,132,443

Now, we try dividing 354,132,443 by 3:

354,132,443 ÷ 3 = 118,044,147.6667

If the quotient is a whole number, then 3 and 118,044,147.6667 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:

1 354,132,443
-1 -354,132,443

Let's try dividing by 4:

354,132,443 ÷ 4 = 88,533,110.75

If the quotient is a whole number, then 4 and 88,533,110.75 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:

1 354,132,443
-1 354,132,443
Keep dividing by the next highest number until you cannot divide anymore.

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

171074317491,0973,0177,67946,117117,379322,819472,807821,6533,309,64950,590,349354,132,443
-1-7-107-431-749-1,097-3,017-7,679-46,117-117,379-322,819-472,807-821,653-3,309,649-50,590,349-354,132,443

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 354,132,443:


Ask a Question