Q: What are the factor combinations of the number 484,877,341?

 A:
Positive:   1 x 48487734113 x 3729825737 x 13104793103 x 4707547481 x 10080611339 x 3621193811 x 1272319787 x 49543
Negative: -1 x -484877341-13 x -37298257-37 x -13104793-103 x -4707547-481 x -1008061-1339 x -362119-3811 x -127231-9787 x -49543


How do I find the factor combinations of the number 484,877,341?

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 484,877,341, 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.

1 484,877,341
-1 -484,877,341

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 484,877,341.

Example:
1 x 484,877,341 = 484,877,341
and
-1 x -484,877,341 = 484,877,341
Notice both answers equal 484,877,341

With that explanation out of the way, let's continue. Next, we take the number 484,877,341 and divide it by 2:

484,877,341 ÷ 2 = 242,438,670.5

If the quotient is a whole number, then 2 and 242,438,670.5 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:

1 484,877,341
-1 -484,877,341

Now, we try dividing 484,877,341 by 3:

484,877,341 ÷ 3 = 161,625,780.3333

If the quotient is a whole number, then 3 and 161,625,780.3333 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:

1 484,877,341
-1 -484,877,341

Let's try dividing by 4:

484,877,341 ÷ 4 = 121,219,335.25

If the quotient is a whole number, then 4 and 121,219,335.25 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:

1 484,877,341
-1 484,877,341
Keep dividing by the next highest number until you cannot divide anymore.

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

113371034811,3393,8119,78749,543127,231362,1191,008,0614,707,54713,104,79337,298,257484,877,341
-1-13-37-103-481-1,339-3,811-9,787-49,543-127,231-362,119-1,008,061-4,707,547-13,104,793-37,298,257-484,877,341

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