Q: What are the factor combinations of the number 142,311,125?

 A:
Positive:   1 x 1423111255 x 2846222511 x 1293737525 x 569244555 x 258747597 x 1467125121 x 1176125125 x 1138489275 x 517495485 x 293425605 x 2352251067 x 1333751375 x 1034992425 x 586853025 x 470455335 x 266759409 x 1512511737 x 12125
Negative: -1 x -142311125-5 x -28462225-11 x -12937375-25 x -5692445-55 x -2587475-97 x -1467125-121 x -1176125-125 x -1138489-275 x -517495-485 x -293425-605 x -235225-1067 x -133375-1375 x -103499-2425 x -58685-3025 x -47045-5335 x -26675-9409 x -15125-11737 x -12125


How do I find the factor combinations of the number 142,311,125?

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 142,311,125, 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.

1 142,311,125
-1 -142,311,125

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 142,311,125.

Example:
1 x 142,311,125 = 142,311,125
and
-1 x -142,311,125 = 142,311,125
Notice both answers equal 142,311,125

With that explanation out of the way, let's continue. Next, we take the number 142,311,125 and divide it by 2:

142,311,125 ÷ 2 = 71,155,562.5

If the quotient is a whole number, then 2 and 71,155,562.5 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:

1 142,311,125
-1 -142,311,125

Now, we try dividing 142,311,125 by 3:

142,311,125 ÷ 3 = 47,437,041.6667

If the quotient is a whole number, then 3 and 47,437,041.6667 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:

1 142,311,125
-1 -142,311,125

Let's try dividing by 4:

142,311,125 ÷ 4 = 35,577,781.25

If the quotient is a whole number, then 4 and 35,577,781.25 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:

1 142,311,125
-1 142,311,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555971211252754856051,0671,3752,4253,0255,3359,40911,73712,12515,12526,67547,04558,685103,499133,375235,225293,425517,4951,138,4891,176,1251,467,1252,587,4755,692,44512,937,37528,462,225142,311,125
-1-5-11-25-55-97-121-125-275-485-605-1,067-1,375-2,425-3,025-5,335-9,409-11,737-12,125-15,125-26,675-47,045-58,685-103,499-133,375-235,225-293,425-517,495-1,138,489-1,176,125-1,467,125-2,587,475-5,692,445-12,937,375-28,462,225-142,311,125

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