Q: What are the factor combinations of the number 42,262,325?

 A:
Positive:   1 x 422623255 x 84524657 x 603747525 x 169049335 x 120749537 x 114222561 x 692825107 x 394975175 x 241499185 x 228445259 x 163175305 x 138565427 x 98975535 x 78995749 x 56425925 x 456891295 x 326351525 x 277132135 x 197952257 x 187252675 x 157993745 x 112853959 x 106756475 x 6527
Negative: -1 x -42262325-5 x -8452465-7 x -6037475-25 x -1690493-35 x -1207495-37 x -1142225-61 x -692825-107 x -394975-175 x -241499-185 x -228445-259 x -163175-305 x -138565-427 x -98975-535 x -78995-749 x -56425-925 x -45689-1295 x -32635-1525 x -27713-2135 x -19795-2257 x -18725-2675 x -15799-3745 x -11285-3959 x -10675-6475 x -6527


How do I find the factor combinations of the number 42,262,325?

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 42,262,325, 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 42,262,325
-1 -42,262,325

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 42,262,325.

Example:
1 x 42,262,325 = 42,262,325
and
-1 x -42,262,325 = 42,262,325
Notice both answers equal 42,262,325

With that explanation out of the way, let's continue. Next, we take the number 42,262,325 and divide it by 2:

42,262,325 ÷ 2 = 21,131,162.5

If the quotient is a whole number, then 2 and 21,131,162.5 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 42,262,325
-1 -42,262,325

Now, we try dividing 42,262,325 by 3:

42,262,325 ÷ 3 = 14,087,441.6667

If the quotient is a whole number, then 3 and 14,087,441.6667 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 42,262,325
-1 -42,262,325

Let's try dividing by 4:

42,262,325 ÷ 4 = 10,565,581.25

If the quotient is a whole number, then 4 and 10,565,581.25 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 42,262,325
-1 42,262,325
Keep dividing by the next highest number until you cannot divide anymore.

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

157253537611071751852593054275357499251,2951,5252,1352,2572,6753,7453,9596,4756,52710,67511,28515,79918,72519,79527,71332,63545,68956,42578,99598,975138,565163,175228,445241,499394,975692,8251,142,2251,207,4951,690,4936,037,4758,452,46542,262,325
-1-5-7-25-35-37-61-107-175-185-259-305-427-535-749-925-1,295-1,525-2,135-2,257-2,675-3,745-3,959-6,475-6,527-10,675-11,285-15,799-18,725-19,795-27,713-32,635-45,689-56,425-78,995-98,975-138,565-163,175-228,445-241,499-394,975-692,825-1,142,225-1,207,495-1,690,493-6,037,475-8,452,465-42,262,325

More Examples

Here are some more numbers to try:

42,262,32342,262,32442,262,32642,262,327
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