Q: What are the factor combinations of the number 350,552,155?

 A:
Positive:   1 x 3505521555 x 7011043117 x 2062071585 x 41241431409 x 2487952927 x 1197657045 x 4975914635 x 23953
Negative: -1 x -350552155-5 x -70110431-17 x -20620715-85 x -4124143-1409 x -248795-2927 x -119765-7045 x -49759-14635 x -23953


How do I find the factor combinations of the number 350,552,155?

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 350,552,155, 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.

1 350,552,155
-1 -350,552,155

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 350,552,155.

Example:
1 x 350,552,155 = 350,552,155
and
-1 x -350,552,155 = 350,552,155
Notice both answers equal 350,552,155

With that explanation out of the way, let's continue. Next, we take the number 350,552,155 and divide it by 2:

350,552,155 ÷ 2 = 175,276,077.5

If the quotient is a whole number, then 2 and 175,276,077.5 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:

1 350,552,155
-1 -350,552,155

Now, we try dividing 350,552,155 by 3:

350,552,155 ÷ 3 = 116,850,718.3333

If the quotient is a whole number, then 3 and 116,850,718.3333 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:

1 350,552,155
-1 -350,552,155

Let's try dividing by 4:

350,552,155 ÷ 4 = 87,638,038.75

If the quotient is a whole number, then 4 and 87,638,038.75 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:

1 350,552,155
-1 350,552,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,4092,9277,04514,63523,95349,759119,765248,7954,124,14320,620,71570,110,431350,552,155
-1-5-17-85-1,409-2,927-7,045-14,635-23,953-49,759-119,765-248,795-4,124,143-20,620,715-70,110,431-350,552,155

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