Q: What are the factor combinations of the number 146,793,829?

 A:
Positive:   1 x 1467938297 x 2097054713 x 1129183319 x 772599159 x 248803191 x 1613119133 x 1103713247 x 594307413 x 355433767 x 1913871121 x 1309491439 x 1020111729 x 849015369 x 273417847 x 1870710073 x 14573
Negative: -1 x -146793829-7 x -20970547-13 x -11291833-19 x -7725991-59 x -2488031-91 x -1613119-133 x -1103713-247 x -594307-413 x -355433-767 x -191387-1121 x -130949-1439 x -102011-1729 x -84901-5369 x -27341-7847 x -18707-10073 x -14573


How do I find the factor combinations of the number 146,793,829?

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 146,793,829, 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.

1 146,793,829
-1 -146,793,829

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 146,793,829.

Example:
1 x 146,793,829 = 146,793,829
and
-1 x -146,793,829 = 146,793,829
Notice both answers equal 146,793,829

With that explanation out of the way, let's continue. Next, we take the number 146,793,829 and divide it by 2:

146,793,829 ÷ 2 = 73,396,914.5

If the quotient is a whole number, then 2 and 73,396,914.5 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:

1 146,793,829
-1 -146,793,829

Now, we try dividing 146,793,829 by 3:

146,793,829 ÷ 3 = 48,931,276.3333

If the quotient is a whole number, then 3 and 48,931,276.3333 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:

1 146,793,829
-1 -146,793,829

Let's try dividing by 4:

146,793,829 ÷ 4 = 36,698,457.25

If the quotient is a whole number, then 4 and 36,698,457.25 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:

1 146,793,829
-1 146,793,829
Keep dividing by the next highest number until you cannot divide anymore.

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

17131959911332474137671,1211,4391,7295,3697,84710,07314,57318,70727,34184,901102,011130,949191,387355,433594,3071,103,7131,613,1192,488,0317,725,99111,291,83320,970,547146,793,829
-1-7-13-19-59-91-133-247-413-767-1,121-1,439-1,729-5,369-7,847-10,073-14,573-18,707-27,341-84,901-102,011-130,949-191,387-355,433-594,307-1,103,713-1,613,119-2,488,031-7,725,991-11,291,833-20,970,547-146,793,829

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