Q: What are the factor combinations of the number 153,200,345?

 A:
Positive:   1 x 1532003455 x 3064006917 x 901178585 x 180235797 x 1579385289 x 530105485 x 3158771093 x 1401651445 x 1060211649 x 929055465 x 280338245 x 18581
Negative: -1 x -153200345-5 x -30640069-17 x -9011785-85 x -1802357-97 x -1579385-289 x -530105-485 x -315877-1093 x -140165-1445 x -106021-1649 x -92905-5465 x -28033-8245 x -18581


How do I find the factor combinations of the number 153,200,345?

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 153,200,345, 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.

1 153,200,345
-1 -153,200,345

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 153,200,345.

Example:
1 x 153,200,345 = 153,200,345
and
-1 x -153,200,345 = 153,200,345
Notice both answers equal 153,200,345

With that explanation out of the way, let's continue. Next, we take the number 153,200,345 and divide it by 2:

153,200,345 ÷ 2 = 76,600,172.5

If the quotient is a whole number, then 2 and 76,600,172.5 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:

1 153,200,345
-1 -153,200,345

Now, we try dividing 153,200,345 by 3:

153,200,345 ÷ 3 = 51,066,781.6667

If the quotient is a whole number, then 3 and 51,066,781.6667 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:

1 153,200,345
-1 -153,200,345

Let's try dividing by 4:

153,200,345 ÷ 4 = 38,300,086.25

If the quotient is a whole number, then 4 and 38,300,086.25 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:

1 153,200,345
-1 153,200,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151785972894851,0931,4451,6495,4658,24518,58128,03392,905106,021140,165315,877530,1051,579,3851,802,3579,011,78530,640,069153,200,345
-1-5-17-85-97-289-485-1,093-1,445-1,649-5,465-8,245-18,581-28,033-92,905-106,021-140,165-315,877-530,105-1,579,385-1,802,357-9,011,785-30,640,069-153,200,345

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