Q: What are the factor combinations of the number 85,150,345?

 A:
Positive:   1 x 851503455 x 170300697 x 1216433535 x 2432867401 x 2123452005 x 424692807 x 303356067 x 14035
Negative: -1 x -85150345-5 x -17030069-7 x -12164335-35 x -2432867-401 x -212345-2005 x -42469-2807 x -30335-6067 x -14035


How do I find the factor combinations of the number 85,150,345?

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 85,150,345, 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 85,150,345
-1 -85,150,345

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 85,150,345.

Example:
1 x 85,150,345 = 85,150,345
and
-1 x -85,150,345 = 85,150,345
Notice both answers equal 85,150,345

With that explanation out of the way, let's continue. Next, we take the number 85,150,345 and divide it by 2:

85,150,345 ÷ 2 = 42,575,172.5

If the quotient is a whole number, then 2 and 42,575,172.5 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 85,150,345
-1 -85,150,345

Now, we try dividing 85,150,345 by 3:

85,150,345 ÷ 3 = 28,383,448.3333

If the quotient is a whole number, then 3 and 28,383,448.3333 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 85,150,345
-1 -85,150,345

Let's try dividing by 4:

85,150,345 ÷ 4 = 21,287,586.25

If the quotient is a whole number, then 4 and 21,287,586.25 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 85,150,345
-1 85,150,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157354012,0052,8076,06714,03530,33542,469212,3452,432,86712,164,33517,030,06985,150,345
-1-5-7-35-401-2,005-2,807-6,067-14,035-30,335-42,469-212,345-2,432,867-12,164,335-17,030,069-85,150,345

More Examples

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