Q: What are the factor combinations of the number 361,440,553?

 A:
Positive:   1 x 36144055317 x 2126120919 x 19023187323 x 1119011439 x 8233272549 x 1417977463 x 484318341 x 43333
Negative: -1 x -361440553-17 x -21261209-19 x -19023187-323 x -1119011-439 x -823327-2549 x -141797-7463 x -48431-8341 x -43333


How do I find the factor combinations of the number 361,440,553?

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 361,440,553, 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.

1 361,440,553
-1 -361,440,553

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 361,440,553.

Example:
1 x 361,440,553 = 361,440,553
and
-1 x -361,440,553 = 361,440,553
Notice both answers equal 361,440,553

With that explanation out of the way, let's continue. Next, we take the number 361,440,553 and divide it by 2:

361,440,553 ÷ 2 = 180,720,276.5

If the quotient is a whole number, then 2 and 180,720,276.5 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:

1 361,440,553
-1 -361,440,553

Now, we try dividing 361,440,553 by 3:

361,440,553 ÷ 3 = 120,480,184.3333

If the quotient is a whole number, then 3 and 120,480,184.3333 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:

1 361,440,553
-1 -361,440,553

Let's try dividing by 4:

361,440,553 ÷ 4 = 90,360,138.25

If the quotient is a whole number, then 4 and 90,360,138.25 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:

1 361,440,553
-1 361,440,553
Keep dividing by the next highest number until you cannot divide anymore.

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

117193234392,5497,4638,34143,33348,431141,797823,3271,119,01119,023,18721,261,209361,440,553
-1-17-19-323-439-2,549-7,463-8,341-43,333-48,431-141,797-823,327-1,119,011-19,023,187-21,261,209-361,440,553

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