Q: What are the factor combinations of the number 253,150,345?

 A:
Positive:   1 x 2531503455 x 506300697 x 3616433535 x 72328672161 x 1171453347 x 7563510805 x 2342915127 x 16735
Negative: -1 x -253150345-5 x -50630069-7 x -36164335-35 x -7232867-2161 x -117145-3347 x -75635-10805 x -23429-15127 x -16735


How do I find the factor combinations of the number 253,150,345?

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 253,150,345, 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.

1 253,150,345
-1 -253,150,345

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 253,150,345.

Example:
1 x 253,150,345 = 253,150,345
and
-1 x -253,150,345 = 253,150,345
Notice both answers equal 253,150,345

With that explanation out of the way, let's continue. Next, we take the number 253,150,345 and divide it by 2:

253,150,345 ÷ 2 = 126,575,172.5

If the quotient is a whole number, then 2 and 126,575,172.5 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:

1 253,150,345
-1 -253,150,345

Now, we try dividing 253,150,345 by 3:

253,150,345 ÷ 3 = 84,383,448.3333

If the quotient is a whole number, then 3 and 84,383,448.3333 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:

1 253,150,345
-1 -253,150,345

Let's try dividing by 4:

253,150,345 ÷ 4 = 63,287,586.25

If the quotient is a whole number, then 4 and 63,287,586.25 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:

1 253,150,345
-1 253,150,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,1613,34710,80515,12716,73523,42975,635117,1457,232,86736,164,33550,630,069253,150,345
-1-5-7-35-2,161-3,347-10,805-15,127-16,735-23,429-75,635-117,145-7,232,867-36,164,335-50,630,069-253,150,345

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