Q: What are the factor combinations of the number 352,422,155?

 A:
Positive:   1 x 3524221555 x 7048443117 x 2073071585 x 4146143107 x 3293665535 x 6587331819 x 1937459095 x 38749
Negative: -1 x -352422155-5 x -70484431-17 x -20730715-85 x -4146143-107 x -3293665-535 x -658733-1819 x -193745-9095 x -38749


How do I find the factor combinations of the number 352,422,155?

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 352,422,155, 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.

1 352,422,155
-1 -352,422,155

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 352,422,155.

Example:
1 x 352,422,155 = 352,422,155
and
-1 x -352,422,155 = 352,422,155
Notice both answers equal 352,422,155

With that explanation out of the way, let's continue. Next, we take the number 352,422,155 and divide it by 2:

352,422,155 ÷ 2 = 176,211,077.5

If the quotient is a whole number, then 2 and 176,211,077.5 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:

1 352,422,155
-1 -352,422,155

Now, we try dividing 352,422,155 by 3:

352,422,155 ÷ 3 = 117,474,051.6667

If the quotient is a whole number, then 3 and 117,474,051.6667 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:

1 352,422,155
-1 -352,422,155

Let's try dividing by 4:

352,422,155 ÷ 4 = 88,105,538.75

If the quotient is a whole number, then 4 and 88,105,538.75 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:

1 352,422,155
-1 352,422,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851075351,8199,09538,749193,745658,7333,293,6654,146,14320,730,71570,484,431352,422,155
-1-5-17-85-107-535-1,819-9,095-38,749-193,745-658,733-3,293,665-4,146,143-20,730,715-70,484,431-352,422,155

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