Q: What are the factor combinations of the number 352,254,145?

 A:
Positive:   1 x 3522541455 x 70450829223 x 1579615431 x 817295733 x 4805651115 x 3159232155 x 1634593665 x 96113
Negative: -1 x -352254145-5 x -70450829-223 x -1579615-431 x -817295-733 x -480565-1115 x -315923-2155 x -163459-3665 x -96113


How do I find the factor combinations of the number 352,254,145?

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 352,254,145, 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.

1 352,254,145
-1 -352,254,145

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 352,254,145.

Example:
1 x 352,254,145 = 352,254,145
and
-1 x -352,254,145 = 352,254,145
Notice both answers equal 352,254,145

With that explanation out of the way, let's continue. Next, we take the number 352,254,145 and divide it by 2:

352,254,145 ÷ 2 = 176,127,072.5

If the quotient is a whole number, then 2 and 176,127,072.5 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:

1 352,254,145
-1 -352,254,145

Now, we try dividing 352,254,145 by 3:

352,254,145 ÷ 3 = 117,418,048.3333

If the quotient is a whole number, then 3 and 117,418,048.3333 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:

1 352,254,145
-1 -352,254,145

Let's try dividing by 4:

352,254,145 ÷ 4 = 88,063,536.25

If the quotient is a whole number, then 4 and 88,063,536.25 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:

1 352,254,145
-1 352,254,145
Keep dividing by the next highest number until you cannot divide anymore.

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

152234317331,1152,1553,66596,113163,459315,923480,565817,2951,579,61570,450,829352,254,145
-1-5-223-431-733-1,115-2,155-3,665-96,113-163,459-315,923-480,565-817,295-1,579,615-70,450,829-352,254,145

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