Q: What are the factor combinations of the number 340,112,425?

 A:
Positive:   1 x 3401124255 x 6802248525 x 1360449741 x 8295425205 x 1659085389 x 874325853 x 3987251025 x 3318171945 x 1748654265 x 797459725 x 3497315949 x 21325
Negative: -1 x -340112425-5 x -68022485-25 x -13604497-41 x -8295425-205 x -1659085-389 x -874325-853 x -398725-1025 x -331817-1945 x -174865-4265 x -79745-9725 x -34973-15949 x -21325


How do I find the factor combinations of the number 340,112,425?

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 340,112,425, 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.

1 340,112,425
-1 -340,112,425

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 340,112,425.

Example:
1 x 340,112,425 = 340,112,425
and
-1 x -340,112,425 = 340,112,425
Notice both answers equal 340,112,425

With that explanation out of the way, let's continue. Next, we take the number 340,112,425 and divide it by 2:

340,112,425 ÷ 2 = 170,056,212.5

If the quotient is a whole number, then 2 and 170,056,212.5 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:

1 340,112,425
-1 -340,112,425

Now, we try dividing 340,112,425 by 3:

340,112,425 ÷ 3 = 113,370,808.3333

If the quotient is a whole number, then 3 and 113,370,808.3333 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:

1 340,112,425
-1 -340,112,425

Let's try dividing by 4:

340,112,425 ÷ 4 = 85,028,106.25

If the quotient is a whole number, then 4 and 85,028,106.25 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:

1 340,112,425
-1 340,112,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525412053898531,0251,9454,2659,72515,94921,32534,97379,745174,865331,817398,725874,3251,659,0858,295,42513,604,49768,022,485340,112,425
-1-5-25-41-205-389-853-1,025-1,945-4,265-9,725-15,949-21,325-34,973-79,745-174,865-331,817-398,725-874,325-1,659,085-8,295,425-13,604,497-68,022,485-340,112,425

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