Q: What are the prime factors of the number 42,130,352?

 A: 2, 11, 17, 14081

Why are those the prime factors of the number 42,130,352?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 42,130,352

42,130,352
Factor Arrows
221,065,176
Factor Arrows
210,532,588
Factor Arrows
25,266,294
Factor Arrows
22,633,147
Factor Arrows
11239,377
Factor Arrows
1714,081

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 11, 17, 14081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 17 x 14,081 = 42,130,352

This can also be written as 24 x 111 x 171 x 14,0811 = 42,130,352

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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