Q: What are the factor combinations of the number 132,453,013?

 A:
Positive:   1 x 1324530137 x 1892185911 x 1204118377 x 1720169121 x 1094653353 x 375221443 x 298991847 x 1563792471 x 536033101 x 427133883 x 341114873 x 27181
Negative: -1 x -132453013-7 x -18921859-11 x -12041183-77 x -1720169-121 x -1094653-353 x -375221-443 x -298991-847 x -156379-2471 x -53603-3101 x -42713-3883 x -34111-4873 x -27181


How do I find the factor combinations of the number 132,453,013?

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 132,453,013, 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.

1 132,453,013
-1 -132,453,013

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 132,453,013.

Example:
1 x 132,453,013 = 132,453,013
and
-1 x -132,453,013 = 132,453,013
Notice both answers equal 132,453,013

With that explanation out of the way, let's continue. Next, we take the number 132,453,013 and divide it by 2:

132,453,013 ÷ 2 = 66,226,506.5

If the quotient is a whole number, then 2 and 66,226,506.5 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:

1 132,453,013
-1 -132,453,013

Now, we try dividing 132,453,013 by 3:

132,453,013 ÷ 3 = 44,151,004.3333

If the quotient is a whole number, then 3 and 44,151,004.3333 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:

1 132,453,013
-1 -132,453,013

Let's try dividing by 4:

132,453,013 ÷ 4 = 33,113,253.25

If the quotient is a whole number, then 4 and 33,113,253.25 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:

1 132,453,013
-1 132,453,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771213534438472,4713,1013,8834,87327,18134,11142,71353,603156,379298,991375,2211,094,6531,720,16912,041,18318,921,859132,453,013
-1-7-11-77-121-353-443-847-2,471-3,101-3,883-4,873-27,181-34,111-42,713-53,603-156,379-298,991-375,221-1,094,653-1,720,169-12,041,183-18,921,859-132,453,013

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