Q: What are the factor combinations of the number 142,453,025?

 A:
Positive:   1 x 1424530255 x 2849060511 x 1295027513 x 1095792525 x 569812155 x 259005565 x 2191585143 x 996175275 x 518011325 x 438317715 x 1992353575 x 39847
Negative: -1 x -142453025-5 x -28490605-11 x -12950275-13 x -10957925-25 x -5698121-55 x -2590055-65 x -2191585-143 x -996175-275 x -518011-325 x -438317-715 x -199235-3575 x -39847


How do I find the factor combinations of the number 142,453,025?

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 142,453,025, 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.

1 142,453,025
-1 -142,453,025

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 142,453,025.

Example:
1 x 142,453,025 = 142,453,025
and
-1 x -142,453,025 = 142,453,025
Notice both answers equal 142,453,025

With that explanation out of the way, let's continue. Next, we take the number 142,453,025 and divide it by 2:

142,453,025 ÷ 2 = 71,226,512.5

If the quotient is a whole number, then 2 and 71,226,512.5 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:

1 142,453,025
-1 -142,453,025

Now, we try dividing 142,453,025 by 3:

142,453,025 ÷ 3 = 47,484,341.6667

If the quotient is a whole number, then 3 and 47,484,341.6667 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:

1 142,453,025
-1 -142,453,025

Let's try dividing by 4:

142,453,025 ÷ 4 = 35,613,256.25

If the quotient is a whole number, then 4 and 35,613,256.25 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:

1 142,453,025
-1 142,453,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753257153,57539,847199,235438,317518,011996,1752,191,5852,590,0555,698,12110,957,92512,950,27528,490,605142,453,025
-1-5-11-13-25-55-65-143-275-325-715-3,575-39,847-199,235-438,317-518,011-996,175-2,191,585-2,590,055-5,698,121-10,957,925-12,950,275-28,490,605-142,453,025

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