Q: What are the factor combinations of the number 351,020,527?

 A:
Positive:   1 x 35102052711 x 3191095713 x 27001579143 x 24546891217 x 2884312017 x 17403113387 x 2622115821 x 22187
Negative: -1 x -351020527-11 x -31910957-13 x -27001579-143 x -2454689-1217 x -288431-2017 x -174031-13387 x -26221-15821 x -22187


How do I find the factor combinations of the number 351,020,527?

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 351,020,527, 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.

1 351,020,527
-1 -351,020,527

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 351,020,527.

Example:
1 x 351,020,527 = 351,020,527
and
-1 x -351,020,527 = 351,020,527
Notice both answers equal 351,020,527

With that explanation out of the way, let's continue. Next, we take the number 351,020,527 and divide it by 2:

351,020,527 ÷ 2 = 175,510,263.5

If the quotient is a whole number, then 2 and 175,510,263.5 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:

1 351,020,527
-1 -351,020,527

Now, we try dividing 351,020,527 by 3:

351,020,527 ÷ 3 = 117,006,842.3333

If the quotient is a whole number, then 3 and 117,006,842.3333 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:

1 351,020,527
-1 -351,020,527

Let's try dividing by 4:

351,020,527 ÷ 4 = 87,755,131.75

If the quotient is a whole number, then 4 and 87,755,131.75 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:

1 351,020,527
-1 351,020,527
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431,2172,01713,38715,82122,18726,221174,031288,4312,454,68927,001,57931,910,957351,020,527
-1-11-13-143-1,217-2,017-13,387-15,821-22,187-26,221-174,031-288,431-2,454,689-27,001,579-31,910,957-351,020,527

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