Q: What are the factor combinations of the number 143,725,705?

 A:
Positive:   1 x 1437257055 x 2874514141 x 350550583 x 1731635205 x 701101415 x 3463273403 x 422358447 x 17015
Negative: -1 x -143725705-5 x -28745141-41 x -3505505-83 x -1731635-205 x -701101-415 x -346327-3403 x -42235-8447 x -17015


How do I find the factor combinations of the number 143,725,705?

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 143,725,705, 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.

1 143,725,705
-1 -143,725,705

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 143,725,705.

Example:
1 x 143,725,705 = 143,725,705
and
-1 x -143,725,705 = 143,725,705
Notice both answers equal 143,725,705

With that explanation out of the way, let's continue. Next, we take the number 143,725,705 and divide it by 2:

143,725,705 ÷ 2 = 71,862,852.5

If the quotient is a whole number, then 2 and 71,862,852.5 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:

1 143,725,705
-1 -143,725,705

Now, we try dividing 143,725,705 by 3:

143,725,705 ÷ 3 = 47,908,568.3333

If the quotient is a whole number, then 3 and 47,908,568.3333 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:

1 143,725,705
-1 -143,725,705

Let's try dividing by 4:

143,725,705 ÷ 4 = 35,931,426.25

If the quotient is a whole number, then 4 and 35,931,426.25 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:

1 143,725,705
-1 143,725,705
Keep dividing by the next highest number until you cannot divide anymore.

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

1541832054153,4038,44717,01542,235346,327701,1011,731,6353,505,50528,745,141143,725,705
-1-5-41-83-205-415-3,403-8,447-17,015-42,235-346,327-701,101-1,731,635-3,505,505-28,745,141-143,725,705

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