Q: What are the factor combinations of the number 145,223,251?

 A:
Positive:   1 x 14522325119 x 764332931 x 468462179 x 1838269589 x 2465591501 x 967512449 x 592993121 x 46531
Negative: -1 x -145223251-19 x -7643329-31 x -4684621-79 x -1838269-589 x -246559-1501 x -96751-2449 x -59299-3121 x -46531


How do I find the factor combinations of the number 145,223,251?

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 145,223,251, 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.

1 145,223,251
-1 -145,223,251

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 145,223,251.

Example:
1 x 145,223,251 = 145,223,251
and
-1 x -145,223,251 = 145,223,251
Notice both answers equal 145,223,251

With that explanation out of the way, let's continue. Next, we take the number 145,223,251 and divide it by 2:

145,223,251 ÷ 2 = 72,611,625.5

If the quotient is a whole number, then 2 and 72,611,625.5 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:

1 145,223,251
-1 -145,223,251

Now, we try dividing 145,223,251 by 3:

145,223,251 ÷ 3 = 48,407,750.3333

If the quotient is a whole number, then 3 and 48,407,750.3333 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:

1 145,223,251
-1 -145,223,251

Let's try dividing by 4:

145,223,251 ÷ 4 = 36,305,812.75

If the quotient is a whole number, then 4 and 36,305,812.75 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:

1 145,223,251
-1 145,223,251
Keep dividing by the next highest number until you cannot divide anymore.

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

11931795891,5012,4493,12146,53159,29996,751246,5591,838,2694,684,6217,643,329145,223,251
-1-19-31-79-589-1,501-2,449-3,121-46,531-59,299-96,751-246,559-1,838,269-4,684,621-7,643,329-145,223,251

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